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Finding the Fourth Proportional to 22,952.40, 31,680.52 and 13,523.92

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Solution

The fourth proportional to 22,952.40, 31,680.52 and 13,523.92 is: 18,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.40 : 31,680.52 = 13,523.92 : x
  2. Step 2: Convert to fraction form
    22,952.40/31,680.52 = 13,523.92/x
  3. Step 3: Cross multiply
    22,952.40x = 31,680.52 × 13,523.92
  4. Step 4: Simplify right side
    22,952.40x = 428,444,818.04
  5. Step 5: Solve for x
    x = 428,444,818.04/22,952.40
  6. Step 6: Final answer
    x = 18,666.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.