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Finding the Fourth Proportional to 24,348.38, 36,526.76 and 7,708.16

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Solution

The fourth proportional to 24,348.38, 36,526.76 and 7,708.16 is: 11,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348.38 : 36,526.76 = 7,708.16 : x
  2. Step 2: Convert to fraction form
    24,348.38/36,526.76 = 7,708.16/x
  3. Step 3: Cross multiply
    24,348.38x = 36,526.76 × 7,708.16
  4. Step 4: Simplify right side
    24,348.38x = 281,554,110.36
  5. Step 5: Solve for x
    x = 281,554,110.36/24,348.38
  6. Step 6: Final answer
    x = 11,563.57

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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.