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Finding the Fourth Proportional to 14,869.50, 22,307.49 and 5,635.50

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Solution

The fourth proportional to 14,869.50, 22,307.49 and 5,635.50 is: 8,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,869.50 : 22,307.49 = 5,635.50 : x
  2. Step 2: Convert to fraction form
    14,869.50/22,307.49 = 5,635.50/x
  3. Step 3: Cross multiply
    14,869.50x = 22,307.49 × 5,635.50
  4. Step 4: Simplify right side
    14,869.50x = 125,713,859.90
  5. Step 5: Solve for x
    x = 125,713,859.90/14,869.50
  6. Step 6: Final answer
    x = 8,454.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.