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Finding the Fourth Proportional to 25,244.68, 37,870.67 and 7,712.23

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Solution

The fourth proportional to 25,244.68, 37,870.67 and 7,712.23 is: 11,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,244.68 : 37,870.67 = 7,712.23 : x
  2. Step 2: Convert to fraction form
    25,244.68/37,870.67 = 7,712.23/x
  3. Step 3: Cross multiply
    25,244.68x = 37,870.67 × 7,712.23
  4. Step 4: Simplify right side
    25,244.68x = 292,067,312.91
  5. Step 5: Solve for x
    x = 292,067,312.91/25,244.68
  6. Step 6: Final answer
    x = 11,569.46

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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.