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Finding the Fourth Proportional to 24,373.96, 36,566.46 and 7,735

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Solution

The fourth proportional to 24,373.96, 36,566.46 and 7,735 is: 11,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,373.96 : 36,566.46 = 7,735 : x
  2. Step 2: Convert to fraction form
    24,373.96/36,566.46 = 7,735/x
  3. Step 3: Cross multiply
    24,373.96x = 36,566.46 × 7,735
  4. Step 4: Simplify right side
    24,373.96x = 282,841,568.10
  5. Step 5: Solve for x
    x = 282,841,568.10/24,373.96
  6. Step 6: Final answer
    x = 11,604.25

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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.