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Finding the Fourth Proportional to 25,578.82, 35,290.65 and 14,398.66

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Solution

The fourth proportional to 25,578.82, 35,290.65 and 14,398.66 is: 19,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.82 : 35,290.65 = 14,398.66 : x
  2. Step 2: Convert to fraction form
    25,578.82/35,290.65 = 14,398.66/x
  3. Step 3: Cross multiply
    25,578.82x = 35,290.65 × 14,398.66
  4. Step 4: Simplify right side
    25,578.82x = 508,138,070.53
  5. Step 5: Solve for x
    x = 508,138,070.53/25,578.82
  6. Step 6: Final answer
    x = 19,865.58

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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.