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Finding the Fourth Proportional to 13,215.20, 19,823.52 and 9,507.20

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Solution

The fourth proportional to 13,215.20, 19,823.52 and 9,507.20 is: 14,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.20 : 19,823.52 = 9,507.20 : x
  2. Step 2: Convert to fraction form
    13,215.20/19,823.52 = 9,507.20/x
  3. Step 3: Cross multiply
    13,215.20x = 19,823.52 × 9,507.20
  4. Step 4: Simplify right side
    13,215.20x = 188,466,169.34
  5. Step 5: Solve for x
    x = 188,466,169.34/13,215.20
  6. Step 6: Final answer
    x = 14,261.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.