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Finding the Fourth Proportional to 24,454.12, 36,678.12 and 7,812.77

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Solution

The fourth proportional to 24,454.12, 36,678.12 and 7,812.77 is: 11,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.12 : 36,678.12 = 7,812.77 : x
  2. Step 2: Convert to fraction form
    24,454.12/36,678.12 = 7,812.77/x
  3. Step 3: Cross multiply
    24,454.12x = 36,678.12 × 7,812.77
  4. Step 4: Simplify right side
    24,454.12x = 286,557,709.22
  5. Step 5: Solve for x
    x = 286,557,709.22/24,454.12
  6. Step 6: Final answer
    x = 11,718.18

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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.