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Finding the Fourth Proportional to 17,248, 23,802.40 and 9,796.16

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Solution

The fourth proportional to 17,248, 23,802.40 and 9,796.16 is: 13,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,248 : 23,802.40 = 9,796.16 : x
  2. Step 2: Convert to fraction form
    17,248/23,802.40 = 9,796.16/x
  3. Step 3: Cross multiply
    17,248x = 23,802.40 × 9,796.16
  4. Step 4: Simplify right side
    17,248x = 233,172,118.78
  5. Step 5: Solve for x
    x = 233,172,118.78/17,248
  6. Step 6: Final answer
    x = 13,518.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.