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Finding the Fourth Proportional to 12,580.24, 18,870.78 and 5,654.76

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Solution

The fourth proportional to 12,580.24, 18,870.78 and 5,654.76 is: 8,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.24 : 18,870.78 = 5,654.76 : x
  2. Step 2: Convert to fraction form
    12,580.24/18,870.78 = 5,654.76/x
  3. Step 3: Cross multiply
    12,580.24x = 18,870.78 × 5,654.76
  4. Step 4: Simplify right side
    12,580.24x = 106,709,731.91
  5. Step 5: Solve for x
    x = 106,709,731.91/12,580.24
  6. Step 6: Final answer
    x = 8,482.33

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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.