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Finding the Fourth Proportional to 25,891.32, 35,726.66 and 14,559

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Solution

The fourth proportional to 25,891.32, 35,726.66 and 14,559 is: 20,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,891.32 : 35,726.66 = 14,559 : x
  2. Step 2: Convert to fraction form
    25,891.32/35,726.66 = 14,559/x
  3. Step 3: Cross multiply
    25,891.32x = 35,726.66 × 14,559
  4. Step 4: Simplify right side
    25,891.32x = 520,144,442.94
  5. Step 5: Solve for x
    x = 520,144,442.94/25,891.32
  6. Step 6: Final answer
    x = 20,089.53

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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.