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Finding the Fourth Proportional to 24,798.32, 34,222.76 and 14,191.28

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Solution

The fourth proportional to 24,798.32, 34,222.76 and 14,191.28 is: 19,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798.32 : 34,222.76 = 14,191.28 : x
  2. Step 2: Convert to fraction form
    24,798.32/34,222.76 = 14,191.28/x
  3. Step 3: Cross multiply
    24,798.32x = 34,222.76 × 14,191.28
  4. Step 4: Simplify right side
    24,798.32x = 485,664,769.53
  5. Step 5: Solve for x
    x = 485,664,769.53/24,798.32
  6. Step 6: Final answer
    x = 19,584.58

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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.