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Finding the Fourth Proportional to 24,448.27, 36,677.37 and 7,807.84

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Solution

The fourth proportional to 24,448.27, 36,677.37 and 7,807.84 is: 11,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448.27 : 36,677.37 = 7,807.84 : x
  2. Step 2: Convert to fraction form
    24,448.27/36,677.37 = 7,807.84/x
  3. Step 3: Cross multiply
    24,448.27x = 36,677.37 × 7,807.84
  4. Step 4: Simplify right side
    24,448.27x = 286,371,036.58
  5. Step 5: Solve for x
    x = 286,371,036.58/24,448.27
  6. Step 6: Final answer
    x = 11,713.35

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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.