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Finding the Fourth Proportional to 24,878.22, 34,332 and 13,547.82

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Solution

The fourth proportional to 24,878.22, 34,332 and 13,547.82 is: 18,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,878.22 : 34,332 = 13,547.82 : x
  2. Step 2: Convert to fraction form
    24,878.22/34,332 = 13,547.82/x
  3. Step 3: Cross multiply
    24,878.22x = 34,332 × 13,547.82
  4. Step 4: Simplify right side
    24,878.22x = 465,123,756.24
  5. Step 5: Solve for x
    x = 465,123,756.24/24,878.22
  6. Step 6: Final answer
    x = 18,696.02

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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.