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Finding the Fourth Proportional to 17,114.06, 25,677.46 and 10,464.19

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Solution

The fourth proportional to 17,114.06, 25,677.46 and 10,464.19 is: 15,700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.06 : 25,677.46 = 10,464.19 : x
  2. Step 2: Convert to fraction form
    17,114.06/25,677.46 = 10,464.19/x
  3. Step 3: Cross multiply
    17,114.06x = 25,677.46 × 10,464.19
  4. Step 4: Simplify right side
    17,114.06x = 268,693,820.16
  5. Step 5: Solve for x
    x = 268,693,820.16/17,114.06
  6. Step 6: Final answer
    x = 15,700.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.