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Finding the Fourth Proportional to 10,017.81, 15,026.84 and 4,471.46

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Solution

The fourth proportional to 10,017.81, 15,026.84 and 4,471.46 is: 6,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.81 : 15,026.84 = 4,471.46 : x
  2. Step 2: Convert to fraction form
    10,017.81/15,026.84 = 4,471.46/x
  3. Step 3: Cross multiply
    10,017.81x = 15,026.84 × 4,471.46
  4. Step 4: Simplify right side
    10,017.81x = 67,191,850.03
  5. Step 5: Solve for x
    x = 67,191,850.03/10,017.81
  6. Step 6: Final answer
    x = 6,707.24

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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.