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Finding the Fourth Proportional to 25,575.40, 38,320.86 and 11,693.80

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Solution

The fourth proportional to 25,575.40, 38,320.86 and 11,693.80 is: 17,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,575.40 : 38,320.86 = 11,693.80 : x
  2. Step 2: Convert to fraction form
    25,575.40/38,320.86 = 11,693.80/x
  3. Step 3: Cross multiply
    25,575.40x = 38,320.86 × 11,693.80
  4. Step 4: Simplify right side
    25,575.40x = 448,116,472.67
  5. Step 5: Solve for x
    x = 448,116,472.67/25,575.40
  6. Step 6: Final answer
    x = 17,521.39

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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.