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Finding the Fourth Proportional to 24,368.16, 36,553.55 and 7,729.46

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Solution

The fourth proportional to 24,368.16, 36,553.55 and 7,729.46 is: 11,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,368.16 : 36,553.55 = 7,729.46 : x
  2. Step 2: Convert to fraction form
    24,368.16/36,553.55 = 7,729.46/x
  3. Step 3: Cross multiply
    24,368.16x = 36,553.55 × 7,729.46
  4. Step 4: Simplify right side
    24,368.16x = 282,538,981.17
  5. Step 5: Solve for x
    x = 282,538,981.17/24,368.16
  6. Step 6: Final answer
    x = 11,594.60

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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.