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Finding the Fourth Proportional to 15,689.60, 23,526.84 and 9,117.68

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Solution

The fourth proportional to 15,689.60, 23,526.84 and 9,117.68 is: 13,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.60 : 23,526.84 = 9,117.68 : x
  2. Step 2: Convert to fraction form
    15,689.60/23,526.84 = 9,117.68/x
  3. Step 3: Cross multiply
    15,689.60x = 23,526.84 × 9,117.68
  4. Step 4: Simplify right side
    15,689.60x = 214,510,198.53
  5. Step 5: Solve for x
    x = 214,510,198.53/15,689.60
  6. Step 6: Final answer
    x = 13,672.13

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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.