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Finding the Fourth Proportional to 25,146.30, 37,662 and 12,007.92

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Solution

The fourth proportional to 25,146.30, 37,662 and 12,007.92 is: 17,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.30 : 37,662 = 12,007.92 : x
  2. Step 2: Convert to fraction form
    25,146.30/37,662 = 12,007.92/x
  3. Step 3: Cross multiply
    25,146.30x = 37,662 × 12,007.92
  4. Step 4: Simplify right side
    25,146.30x = 452,242,283.04
  5. Step 5: Solve for x
    x = 452,242,283.04/25,146.30
  6. Step 6: Final answer
    x = 17,984.45

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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.