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Finding the Fourth Proportional to 24,781.44, 34,214.40 and 15,360

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Solution

The fourth proportional to 24,781.44, 34,214.40 and 15,360 is: 21,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781.44 : 34,214.40 = 15,360 : x
  2. Step 2: Convert to fraction form
    24,781.44/34,214.40 = 15,360/x
  3. Step 3: Cross multiply
    24,781.44x = 34,214.40 × 15,360
  4. Step 4: Simplify right side
    24,781.44x = 525,533,184
  5. Step 5: Solve for x
    x = 525,533,184/24,781.44
  6. Step 6: Final answer
    x = 21,206.73

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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.