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Finding the Fourth Proportional to 25,891.86, 35,729.64 and 14,561.58

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Solution

The fourth proportional to 25,891.86, 35,729.64 and 14,561.58 is: 20,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,891.86 : 35,729.64 = 14,561.58 : x
  2. Step 2: Convert to fraction form
    25,891.86/35,729.64 = 14,561.58/x
  3. Step 3: Cross multiply
    25,891.86x = 35,729.64 × 14,561.58
  4. Step 4: Simplify right side
    25,891.86x = 520,280,011.23
  5. Step 5: Solve for x
    x = 520,280,011.23/25,891.86
  6. Step 6: Final answer
    x = 20,094.35

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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.