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Finding the Fourth Proportional to 15,697.77, 23,516.58 and 15,170.16

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Solution

The fourth proportional to 15,697.77, 23,516.58 and 15,170.16 is: 22,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.77 : 23,516.58 = 15,170.16 : x
  2. Step 2: Convert to fraction form
    15,697.77/23,516.58 = 15,170.16/x
  3. Step 3: Cross multiply
    15,697.77x = 23,516.58 × 15,170.16
  4. Step 4: Simplify right side
    15,697.77x = 356,750,281.25
  5. Step 5: Solve for x
    x = 356,750,281.25/15,697.77
  6. Step 6: Final answer
    x = 22,726.18

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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.