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Finding the Fourth Proportional to 15,426.42, 23,086.98 and 9,801.24

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Solution

The fourth proportional to 15,426.42, 23,086.98 and 9,801.24 is: 14,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,426.42 : 23,086.98 = 9,801.24 : x
  2. Step 2: Convert to fraction form
    15,426.42/23,086.98 = 9,801.24/x
  3. Step 3: Cross multiply
    15,426.42x = 23,086.98 × 9,801.24
  4. Step 4: Simplify right side
    15,426.42x = 226,281,031.86
  5. Step 5: Solve for x
    x = 226,281,031.86/15,426.42
  6. Step 6: Final answer
    x = 14,668.41

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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.