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Finding the Fourth Proportional to 16,053.52, 24,083.93 and 8,657.81

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Solution

The fourth proportional to 16,053.52, 24,083.93 and 8,657.81 is: 12,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,053.52 : 24,083.93 = 8,657.81 : x
  2. Step 2: Convert to fraction form
    16,053.52/24,083.93 = 8,657.81/x
  3. Step 3: Cross multiply
    16,053.52x = 24,083.93 × 8,657.81
  4. Step 4: Simplify right side
    16,053.52x = 208,514,149.27
  5. Step 5: Solve for x
    x = 208,514,149.27/16,053.52
  6. Step 6: Final answer
    x = 12,988.69

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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.