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Finding the Fourth Proportional to 17,637.20, 24,341.02 and 10,084.14

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Solution

The fourth proportional to 17,637.20, 24,341.02 and 10,084.14 is: 13,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.20 : 24,341.02 = 10,084.14 : x
  2. Step 2: Convert to fraction form
    17,637.20/24,341.02 = 10,084.14/x
  3. Step 3: Cross multiply
    17,637.20x = 24,341.02 × 10,084.14
  4. Step 4: Simplify right side
    17,637.20x = 245,458,253.42
  5. Step 5: Solve for x
    x = 245,458,253.42/17,637.20
  6. Step 6: Final answer
    x = 13,917.08

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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.