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Finding the Fourth Proportional to 25,001.64, 37,502.64 and 7,471.80

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Solution

The fourth proportional to 25,001.64, 37,502.64 and 7,471.80 is: 11,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,001.64 : 37,502.64 = 7,471.80 : x
  2. Step 2: Convert to fraction form
    25,001.64/37,502.64 = 7,471.80/x
  3. Step 3: Cross multiply
    25,001.64x = 37,502.64 × 7,471.80
  4. Step 4: Simplify right side
    25,001.64x = 280,212,225.55
  5. Step 5: Solve for x
    x = 280,212,225.55/25,001.64
  6. Step 6: Final answer
    x = 11,207.75

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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.