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Finding the Fourth Proportional to 24,464.80, 36,683.70 and 7,820.20

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Solution

The fourth proportional to 24,464.80, 36,683.70 and 7,820.20 is: 11,725.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.80 : 36,683.70 = 7,820.20 : x
  2. Step 2: Convert to fraction form
    24,464.80/36,683.70 = 7,820.20/x
  3. Step 3: Cross multiply
    24,464.80x = 36,683.70 × 7,820.20
  4. Step 4: Simplify right side
    24,464.80x = 286,873,870.74
  5. Step 5: Solve for x
    x = 286,873,870.74/24,464.80
  6. Step 6: Final answer
    x = 11,725.98

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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.