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Finding the Fourth Proportional to 24,713.42, 34,101.96 and 14,101

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Solution

The fourth proportional to 24,713.42, 34,101.96 and 14,101 is: 19,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.42 : 34,101.96 = 14,101 : x
  2. Step 2: Convert to fraction form
    24,713.42/34,101.96 = 14,101/x
  3. Step 3: Cross multiply
    24,713.42x = 34,101.96 × 14,101
  4. Step 4: Simplify right side
    24,713.42x = 480,871,737.96
  5. Step 5: Solve for x
    x = 480,871,737.96/24,713.42
  6. Step 6: Final answer
    x = 19,457.92

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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.