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Finding the Fourth Proportional to 14,331.85, 21,506.07 and 6,011.12

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Solution

The fourth proportional to 14,331.85, 21,506.07 and 6,011.12 is: 9,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.85 : 21,506.07 = 6,011.12 : x
  2. Step 2: Convert to fraction form
    14,331.85/21,506.07 = 6,011.12/x
  3. Step 3: Cross multiply
    14,331.85x = 21,506.07 × 6,011.12
  4. Step 4: Simplify right side
    14,331.85x = 129,275,567.50
  5. Step 5: Solve for x
    x = 129,275,567.50/14,331.85
  6. Step 6: Final answer
    x = 9,020.16

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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.