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Finding the Fourth Proportional to 25,100.40, 37,648.56 and 8,460.08

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Solution

The fourth proportional to 25,100.40, 37,648.56 and 8,460.08 is: 12,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,100.40 : 37,648.56 = 8,460.08 : x
  2. Step 2: Convert to fraction form
    25,100.40/37,648.56 = 8,460.08/x
  3. Step 3: Cross multiply
    25,100.40x = 37,648.56 × 8,460.08
  4. Step 4: Simplify right side
    25,100.40x = 318,509,641.24
  5. Step 5: Solve for x
    x = 318,509,641.24/25,100.40
  6. Step 6: Final answer
    x = 12,689.42

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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.