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Finding the Fourth Proportional to 24,298.64, 33,540.50 and 14,230.31

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Solution

The fourth proportional to 24,298.64, 33,540.50 and 14,230.31 is: 19,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.64 : 33,540.50 = 14,230.31 : x
  2. Step 2: Convert to fraction form
    24,298.64/33,540.50 = 14,230.31/x
  3. Step 3: Cross multiply
    24,298.64x = 33,540.50 × 14,230.31
  4. Step 4: Simplify right side
    24,298.64x = 477,291,831.98
  5. Step 5: Solve for x
    x = 477,291,831.98/24,298.64
  6. Step 6: Final answer
    x = 19,642.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.