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Finding the Fourth Proportional to 16,114.29, 24,062.91 and 13,158.50

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Solution

The fourth proportional to 16,114.29, 24,062.91 and 13,158.50 is: 19,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.29 : 24,062.91 = 13,158.50 : x
  2. Step 2: Convert to fraction form
    16,114.29/24,062.91 = 13,158.50/x
  3. Step 3: Cross multiply
    16,114.29x = 24,062.91 × 13,158.50
  4. Step 4: Simplify right side
    16,114.29x = 316,631,766.93
  5. Step 5: Solve for x
    x = 316,631,766.93/16,114.29
  6. Step 6: Final answer
    x = 19,649.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.