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Finding the Fourth Proportional to 16,074, 24,111.32 and 4,387.52

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Solution

The fourth proportional to 16,074, 24,111.32 and 4,387.52 is: 6,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074 : 24,111.32 = 4,387.52 : x
  2. Step 2: Convert to fraction form
    16,074/24,111.32 = 4,387.52/x
  3. Step 3: Cross multiply
    16,074x = 24,111.32 × 4,387.52
  4. Step 4: Simplify right side
    16,074x = 105,788,937.07
  5. Step 5: Solve for x
    x = 105,788,937.07/16,074
  6. Step 6: Final answer
    x = 6,581.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.