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Finding the Fourth Proportional to 12,930.52, 19,403.52 and 5,534.98

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Solution

The fourth proportional to 12,930.52, 19,403.52 and 5,534.98 is: 8,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.52 : 19,403.52 = 5,534.98 : x
  2. Step 2: Convert to fraction form
    12,930.52/19,403.52 = 5,534.98/x
  3. Step 3: Cross multiply
    12,930.52x = 19,403.52 × 5,534.98
  4. Step 4: Simplify right side
    12,930.52x = 107,398,095.13
  5. Step 5: Solve for x
    x = 107,398,095.13/12,930.52
  6. Step 6: Final answer
    x = 8,305.78

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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.