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Finding the Fourth Proportional to 25,052.34, 37,580.49 and 8,412.31

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Solution

The fourth proportional to 25,052.34, 37,580.49 and 8,412.31 is: 12,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,052.34 : 37,580.49 = 8,412.31 : x
  2. Step 2: Convert to fraction form
    25,052.34/37,580.49 = 8,412.31/x
  3. Step 3: Cross multiply
    25,052.34x = 37,580.49 × 8,412.31
  4. Step 4: Simplify right side
    25,052.34x = 316,138,689.77
  5. Step 5: Solve for x
    x = 316,138,689.77/25,052.34
  6. Step 6: Final answer
    x = 12,619.13

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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.