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Finding the Fourth Proportional to 15,148.16, 22,721.76 and 4,760

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Solution

The fourth proportional to 15,148.16, 22,721.76 and 4,760 is: 7,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148.16 : 22,721.76 = 4,760 : x
  2. Step 2: Convert to fraction form
    15,148.16/22,721.76 = 4,760/x
  3. Step 3: Cross multiply
    15,148.16x = 22,721.76 × 4,760
  4. Step 4: Simplify right side
    15,148.16x = 108,155,577.60
  5. Step 5: Solve for x
    x = 108,155,577.60/15,148.16
  6. Step 6: Final answer
    x = 7,139.85

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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.