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Finding the Fourth Proportional to 24,845.70, 37,268.80 and 7,315.86

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Solution

The fourth proportional to 24,845.70, 37,268.80 and 7,315.86 is: 10,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,845.70 : 37,268.80 = 7,315.86 : x
  2. Step 2: Convert to fraction form
    24,845.70/37,268.80 = 7,315.86/x
  3. Step 3: Cross multiply
    24,845.70x = 37,268.80 × 7,315.86
  4. Step 4: Simplify right side
    24,845.70x = 272,653,323.17
  5. Step 5: Solve for x
    x = 272,653,323.17/24,845.70
  6. Step 6: Final answer
    x = 10,973.86

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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.