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Finding the Fourth Proportional to 12,527.60, 18,754.61 and 6,590.43

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Solution

The fourth proportional to 12,527.60, 18,754.61 and 6,590.43 is: 9,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.60 : 18,754.61 = 6,590.43 : x
  2. Step 2: Convert to fraction form
    12,527.60/18,754.61 = 6,590.43/x
  3. Step 3: Cross multiply
    12,527.60x = 18,754.61 × 6,590.43
  4. Step 4: Simplify right side
    12,527.60x = 123,600,911.43
  5. Step 5: Solve for x
    x = 123,600,911.43/12,527.60
  6. Step 6: Final answer
    x = 9,866.29

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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.