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Finding the Fourth Proportional to 17,859.66, 24,646.32 and 9,902.40

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Solution

The fourth proportional to 17,859.66, 24,646.32 and 9,902.40 is: 13,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,859.66 : 24,646.32 = 9,902.40 : x
  2. Step 2: Convert to fraction form
    17,859.66/24,646.32 = 9,902.40/x
  3. Step 3: Cross multiply
    17,859.66x = 24,646.32 × 9,902.40
  4. Step 4: Simplify right side
    17,859.66x = 244,057,719.17
  5. Step 5: Solve for x
    x = 244,057,719.17/17,859.66
  6. Step 6: Final answer
    x = 13,665.31

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