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Finding the Fourth Proportional to 24,370.88, 36,557.61 and 7,732.23

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Solution

The fourth proportional to 24,370.88, 36,557.61 and 7,732.23 is: 11,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,370.88 : 36,557.61 = 7,732.23 : x
  2. Step 2: Convert to fraction form
    24,370.88/36,557.61 = 7,732.23/x
  3. Step 3: Cross multiply
    24,370.88x = 36,557.61 × 7,732.23
  4. Step 4: Simplify right side
    24,370.88x = 282,671,848.77
  5. Step 5: Solve for x
    x = 282,671,848.77/24,370.88
  6. Step 6: Final answer
    x = 11,598.75

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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.