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Finding the Fourth Proportional to 24,454.16, 36,651 and 13,933

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Solution

The fourth proportional to 24,454.16, 36,651 and 13,933 is: 20,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.16 : 36,651 = 13,933 : x
  2. Step 2: Convert to fraction form
    24,454.16/36,651 = 13,933/x
  3. Step 3: Cross multiply
    24,454.16x = 36,651 × 13,933
  4. Step 4: Simplify right side
    24,454.16x = 510,658,383
  5. Step 5: Solve for x
    x = 510,658,383/24,454.16
  6. Step 6: Final answer
    x = 20,882.27

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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.