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Finding the Fourth Proportional to 24,374.16, 36,562.55 and 7,735.46

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Solution

The fourth proportional to 24,374.16, 36,562.55 and 7,735.46 is: 11,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374.16 : 36,562.55 = 7,735.46 : x
  2. Step 2: Convert to fraction form
    24,374.16/36,562.55 = 7,735.46/x
  3. Step 3: Cross multiply
    24,374.16x = 36,562.55 × 7,735.46
  4. Step 4: Simplify right side
    24,374.16x = 282,827,921.53
  5. Step 5: Solve for x
    x = 282,827,921.53/24,374.16
  6. Step 6: Final answer
    x = 11,603.60

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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.