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Finding the Fourth Proportional to 17,845.65, 24,627.20 and 9,888

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Solution

The fourth proportional to 17,845.65, 24,627.20 and 9,888 is: 13,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,845.65 : 24,627.20 = 9,888 : x
  2. Step 2: Convert to fraction form
    17,845.65/24,627.20 = 9,888/x
  3. Step 3: Cross multiply
    17,845.65x = 24,627.20 × 9,888
  4. Step 4: Simplify right side
    17,845.65x = 243,513,753.60
  5. Step 5: Solve for x
    x = 243,513,753.60/17,845.65
  6. Step 6: Final answer
    x = 13,645.55

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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.