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Finding the Fourth Proportional to 21,019.16, 31,509.38 and 7,158.52

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Solution

The fourth proportional to 21,019.16, 31,509.38 and 7,158.52 is: 10,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.16 : 31,509.38 = 7,158.52 : x
  2. Step 2: Convert to fraction form
    21,019.16/31,509.38 = 7,158.52/x
  3. Step 3: Cross multiply
    21,019.16x = 31,509.38 × 7,158.52
  4. Step 4: Simplify right side
    21,019.16x = 225,560,526.92
  5. Step 5: Solve for x
    x = 225,560,526.92/21,019.16
  6. Step 6: Final answer
    x = 10,731.19

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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.