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Finding the Fourth Proportional to 14,677.88, 22,002.32 and 9,397.85

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Solution

The fourth proportional to 14,677.88, 22,002.32 and 9,397.85 is: 14,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.88 : 22,002.32 = 9,397.85 : x
  2. Step 2: Convert to fraction form
    14,677.88/22,002.32 = 9,397.85/x
  3. Step 3: Cross multiply
    14,677.88x = 22,002.32 × 9,397.85
  4. Step 4: Simplify right side
    14,677.88x = 206,774,581.51
  5. Step 5: Solve for x
    x = 206,774,581.51/14,677.88
  6. Step 6: Final answer
    x = 14,087.50

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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.