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Finding the Fourth Proportional to 14,893.20, 22,332.16 and 7,877

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Solution

The fourth proportional to 14,893.20, 22,332.16 and 7,877 is: 11,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.20 : 22,332.16 = 7,877 : x
  2. Step 2: Convert to fraction form
    14,893.20/22,332.16 = 7,877/x
  3. Step 3: Cross multiply
    14,893.20x = 22,332.16 × 7,877
  4. Step 4: Simplify right side
    14,893.20x = 175,910,424.32
  5. Step 5: Solve for x
    x = 175,910,424.32/14,893.20
  6. Step 6: Final answer
    x = 11,811.46

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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.