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Finding the Fourth Proportional to 25,891.65, 35,730.14 and 14,561.15

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Solution

The fourth proportional to 25,891.65, 35,730.14 and 14,561.15 is: 20,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,891.65 : 35,730.14 = 14,561.15 : x
  2. Step 2: Convert to fraction form
    25,891.65/35,730.14 = 14,561.15/x
  3. Step 3: Cross multiply
    25,891.65x = 35,730.14 × 14,561.15
  4. Step 4: Simplify right side
    25,891.65x = 520,271,859.95
  5. Step 5: Solve for x
    x = 520,271,859.95/25,891.65
  6. Step 6: Final answer
    x = 20,094.19

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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.