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Finding the Fourth Proportional to 16,116.71, 22,235.85 and 13,127.27

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Solution

The fourth proportional to 16,116.71, 22,235.85 and 13,127.27 is: 18,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.71 : 22,235.85 = 13,127.27 : x
  2. Step 2: Convert to fraction form
    16,116.71/22,235.85 = 13,127.27/x
  3. Step 3: Cross multiply
    16,116.71x = 22,235.85 × 13,127.27
  4. Step 4: Simplify right side
    16,116.71x = 291,895,895.45
  5. Step 5: Solve for x
    x = 291,895,895.45/16,116.71
  6. Step 6: Final answer
    x = 18,111.39

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Why These Related Problems?

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