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Finding the Fourth Proportional to 13,277.20, 17,670.52 and 13,277.20

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Solution

The fourth proportional to 13,277.20, 17,670.52 and 13,277.20 is: 17,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.20 : 17,670.52 = 13,277.20 : x
  2. Step 2: Convert to fraction form
    13,277.20/17,670.52 = 13,277.20/x
  3. Step 3: Cross multiply
    13,277.20x = 17,670.52 × 13,277.20
  4. Step 4: Simplify right side
    13,277.20x = 234,615,028.14
  5. Step 5: Solve for x
    x = 234,615,028.14/13,277.20
  6. Step 6: Final answer
    x = 17,670.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.