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Finding the Fourth Proportional to 15,125.90, 22,688.87 and 4,596

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Solution

The fourth proportional to 15,125.90, 22,688.87 and 4,596 is: 6,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,125.90 : 22,688.87 = 4,596 : x
  2. Step 2: Convert to fraction form
    15,125.90/22,688.87 = 4,596/x
  3. Step 3: Cross multiply
    15,125.90x = 22,688.87 × 4,596
  4. Step 4: Simplify right side
    15,125.90x = 104,278,023.54
  5. Step 5: Solve for x
    x = 104,278,023.54/15,125.90
  6. Step 6: Final answer
    x = 6,894.01

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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.