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Finding the Fourth Proportional to 16,111.85, 22,235.35 and 10,725

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Solution

The fourth proportional to 16,111.85, 22,235.35 and 10,725 is: 14,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111.85 : 22,235.35 = 10,725 : x
  2. Step 2: Convert to fraction form
    16,111.85/22,235.35 = 10,725/x
  3. Step 3: Cross multiply
    16,111.85x = 22,235.35 × 10,725
  4. Step 4: Simplify right side
    16,111.85x = 238,474,128.75
  5. Step 5: Solve for x
    x = 238,474,128.75/16,111.85
  6. Step 6: Final answer
    x = 14,801.16

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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.