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Finding the Fourth Proportional to 24,851.04, 34,295.22 and 14,244

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Solution

The fourth proportional to 24,851.04, 34,295.22 and 14,244 is: 19,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,851.04 : 34,295.22 = 14,244 : x
  2. Step 2: Convert to fraction form
    24,851.04/34,295.22 = 14,244/x
  3. Step 3: Cross multiply
    24,851.04x = 34,295.22 × 14,244
  4. Step 4: Simplify right side
    24,851.04x = 488,501,113.68
  5. Step 5: Solve for x
    x = 488,501,113.68/24,851.04
  6. Step 6: Final answer
    x = 19,657.17

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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.