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Finding the Fourth Proportional to 24,366.12, 36,534.33 and 9,582

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Solution

The fourth proportional to 24,366.12, 36,534.33 and 9,582 is: 14,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,366.12 : 36,534.33 = 9,582 : x
  2. Step 2: Convert to fraction form
    24,366.12/36,534.33 = 9,582/x
  3. Step 3: Cross multiply
    24,366.12x = 36,534.33 × 9,582
  4. Step 4: Simplify right side
    24,366.12x = 350,071,950.06
  5. Step 5: Solve for x
    x = 350,071,950.06/24,366.12
  6. Step 6: Final answer
    x = 14,367.16

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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.