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Finding the Fourth Proportional to 24,767.34, 34,178.92 and 14,157.20

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Solution

The fourth proportional to 24,767.34, 34,178.92 and 14,157.20 is: 19,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767.34 : 34,178.92 = 14,157.20 : x
  2. Step 2: Convert to fraction form
    24,767.34/34,178.92 = 14,157.20/x
  3. Step 3: Cross multiply
    24,767.34x = 34,178.92 × 14,157.20
  4. Step 4: Simplify right side
    24,767.34x = 483,877,720.78
  5. Step 5: Solve for x
    x = 483,877,720.78/24,767.34
  6. Step 6: Final answer
    x = 19,536.93

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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.