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Finding the Fourth Proportional to 21,049.16, 31,543.64 and 15,458.64

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Solution

The fourth proportional to 21,049.16, 31,543.64 and 15,458.64 is: 23,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049.16 : 31,543.64 = 15,458.64 : x
  2. Step 2: Convert to fraction form
    21,049.16/31,543.64 = 15,458.64/x
  3. Step 3: Cross multiply
    21,049.16x = 31,543.64 × 15,458.64
  4. Step 4: Simplify right side
    21,049.16x = 487,621,775.05
  5. Step 5: Solve for x
    x = 487,621,775.05/21,049.16
  6. Step 6: Final answer
    x = 23,165.85

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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.