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Finding the Fourth Proportional to 24,726, 34,121.88 and 13,547.76

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Solution

The fourth proportional to 24,726, 34,121.88 and 13,547.76 is: 18,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,726 : 34,121.88 = 13,547.76 : x
  2. Step 2: Convert to fraction form
    24,726/34,121.88 = 13,547.76/x
  3. Step 3: Cross multiply
    24,726x = 34,121.88 × 13,547.76
  4. Step 4: Simplify right side
    24,726x = 462,275,040.99
  5. Step 5: Solve for x
    x = 462,275,040.99/24,726
  6. Step 6: Final answer
    x = 18,695.91

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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.