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Finding the Fourth Proportional to 24,322.32, 36,483.47 and 5,854.32

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Solution

The fourth proportional to 24,322.32, 36,483.47 and 5,854.32 is: 8,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.32 : 36,483.47 = 5,854.32 : x
  2. Step 2: Convert to fraction form
    24,322.32/36,483.47 = 5,854.32/x
  3. Step 3: Cross multiply
    24,322.32x = 36,483.47 × 5,854.32
  4. Step 4: Simplify right side
    24,322.32x = 213,585,878.82
  5. Step 5: Solve for x
    x = 213,585,878.82/24,322.32
  6. Step 6: Final answer
    x = 8,781.48

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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.