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Finding the Fourth Proportional to 15,425.76, 21,287.16 and 9,138

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Solution

The fourth proportional to 15,425.76, 21,287.16 and 9,138 is: 12,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,425.76 : 21,287.16 = 9,138 : x
  2. Step 2: Convert to fraction form
    15,425.76/21,287.16 = 9,138/x
  3. Step 3: Cross multiply
    15,425.76x = 21,287.16 × 9,138
  4. Step 4: Simplify right side
    15,425.76x = 194,522,068.08
  5. Step 5: Solve for x
    x = 194,522,068.08/15,425.76
  6. Step 6: Final answer
    x = 12,610.21

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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.