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Finding the Fourth Proportional to 24,719.76, 34,114.12 and 13,541.76

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Solution

The fourth proportional to 24,719.76, 34,114.12 and 13,541.76 is: 18,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,719.76 : 34,114.12 = 13,541.76 : x
  2. Step 2: Convert to fraction form
    24,719.76/34,114.12 = 13,541.76/x
  3. Step 3: Cross multiply
    24,719.76x = 34,114.12 × 13,541.76
  4. Step 4: Simplify right side
    24,719.76x = 461,965,225.65
  5. Step 5: Solve for x
    x = 461,965,225.65/24,719.76
  6. Step 6: Final answer
    x = 18,688.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.