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Finding the Fourth Proportional to 14,901.30, 22,352 and 5,543.38

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Solution

The fourth proportional to 14,901.30, 22,352 and 5,543.38 is: 8,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.30 : 22,352 = 5,543.38 : x
  2. Step 2: Convert to fraction form
    14,901.30/22,352 = 5,543.38/x
  3. Step 3: Cross multiply
    14,901.30x = 22,352 × 5,543.38
  4. Step 4: Simplify right side
    14,901.30x = 123,905,629.76
  5. Step 5: Solve for x
    x = 123,905,629.76/14,901.30
  6. Step 6: Final answer
    x = 8,315.09

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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.