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Finding the Fourth Proportional to 15,019.32, 22,523.22 and 5,156.76

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Solution

The fourth proportional to 15,019.32, 22,523.22 and 5,156.76 is: 7,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,019.32 : 22,523.22 = 5,156.76 : x
  2. Step 2: Convert to fraction form
    15,019.32/22,523.22 = 5,156.76/x
  3. Step 3: Cross multiply
    15,019.32x = 22,523.22 × 5,156.76
  4. Step 4: Simplify right side
    15,019.32x = 116,146,839.97
  5. Step 5: Solve for x
    x = 116,146,839.97/15,019.32
  6. Step 6: Final answer
    x = 7,733.16

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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.