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Finding the Fourth Proportional to 15,657.84, 23,480.73 and 5,125.14

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Solution

The fourth proportional to 15,657.84, 23,480.73 and 5,125.14 is: 7,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.84 : 23,480.73 = 5,125.14 : x
  2. Step 2: Convert to fraction form
    15,657.84/23,480.73 = 5,125.14/x
  3. Step 3: Cross multiply
    15,657.84x = 23,480.73 × 5,125.14
  4. Step 4: Simplify right side
    15,657.84x = 120,342,028.55
  5. Step 5: Solve for x
    x = 120,342,028.55/15,657.84
  6. Step 6: Final answer
    x = 7,685.74

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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.