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Finding the Fourth Proportional to 25,162.40, 37,743.60 and 16,414.40

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Solution

The fourth proportional to 25,162.40, 37,743.60 and 16,414.40 is: 24,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,162.40 : 37,743.60 = 16,414.40 : x
  2. Step 2: Convert to fraction form
    25,162.40/37,743.60 = 16,414.40/x
  3. Step 3: Cross multiply
    25,162.40x = 37,743.60 × 16,414.40
  4. Step 4: Simplify right side
    25,162.40x = 619,538,547.84
  5. Step 5: Solve for x
    x = 619,538,547.84/25,162.40
  6. Step 6: Final answer
    x = 24,621.60

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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.