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Finding the Fourth Proportional to 22,953.64, 34,425.98 and 6,309.40

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Solution

The fourth proportional to 22,953.64, 34,425.98 and 6,309.40 is: 9,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.64 : 34,425.98 = 6,309.40 : x
  2. Step 2: Convert to fraction form
    22,953.64/34,425.98 = 6,309.40/x
  3. Step 3: Cross multiply
    22,953.64x = 34,425.98 × 6,309.40
  4. Step 4: Simplify right side
    22,953.64x = 217,207,278.21
  5. Step 5: Solve for x
    x = 217,207,278.21/22,953.64
  6. Step 6: Final answer
    x = 9,462.87

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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.