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Finding the Fourth Proportional to 24,677.36, 34,055.36 and 14,068

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Solution

The fourth proportional to 24,677.36, 34,055.36 and 14,068 is: 19,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677.36 : 34,055.36 = 14,068 : x
  2. Step 2: Convert to fraction form
    24,677.36/34,055.36 = 14,068/x
  3. Step 3: Cross multiply
    24,677.36x = 34,055.36 × 14,068
  4. Step 4: Simplify right side
    24,677.36x = 479,090,804.48
  5. Step 5: Solve for x
    x = 479,090,804.48/24,677.36
  6. Step 6: Final answer
    x = 19,414.18

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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.