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Finding the Fourth Proportional to 10,385.58, 15,578.54 and 9,881.36

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Solution

The fourth proportional to 10,385.58, 15,578.54 and 9,881.36 is: 14,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.58 : 15,578.54 = 9,881.36 : x
  2. Step 2: Convert to fraction form
    10,385.58/15,578.54 = 9,881.36/x
  3. Step 3: Cross multiply
    10,385.58x = 15,578.54 × 9,881.36
  4. Step 4: Simplify right side
    10,385.58x = 153,937,034.71
  5. Step 5: Solve for x
    x = 153,937,034.71/10,385.58
  6. Step 6: Final answer
    x = 14,822.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.