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Finding the Fourth Proportional to 14,729.32, 22,093.98 and 8,569

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Solution

The fourth proportional to 14,729.32, 22,093.98 and 8,569 is: 12,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729.32 : 22,093.98 = 8,569 : x
  2. Step 2: Convert to fraction form
    14,729.32/22,093.98 = 8,569/x
  3. Step 3: Cross multiply
    14,729.32x = 22,093.98 × 8,569
  4. Step 4: Simplify right side
    14,729.32x = 189,323,314.62
  5. Step 5: Solve for x
    x = 189,323,314.62/14,729.32
  6. Step 6: Final answer
    x = 12,853.50

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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.