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Finding the Fourth Proportional to 17,458.10, 24,088.07 and 9,902.72

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Solution

The fourth proportional to 17,458.10, 24,088.07 and 9,902.72 is: 13,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.10 : 24,088.07 = 9,902.72 : x
  2. Step 2: Convert to fraction form
    17,458.10/24,088.07 = 9,902.72/x
  3. Step 3: Cross multiply
    17,458.10x = 24,088.07 × 9,902.72
  4. Step 4: Simplify right side
    17,458.10x = 238,537,242.60
  5. Step 5: Solve for x
    x = 238,537,242.60/17,458.10
  6. Step 6: Final answer
    x = 13,663.42

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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.