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Finding the Fourth Proportional to 14,543.64, 20,071.26 and 8,256.42

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Solution

The fourth proportional to 14,543.64, 20,071.26 and 8,256.42 is: 11,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.64 : 20,071.26 = 8,256.42 : x
  2. Step 2: Convert to fraction form
    14,543.64/20,071.26 = 8,256.42/x
  3. Step 3: Cross multiply
    14,543.64x = 20,071.26 × 8,256.42
  4. Step 4: Simplify right side
    14,543.64x = 165,716,752.49
  5. Step 5: Solve for x
    x = 165,716,752.49/14,543.64
  6. Step 6: Final answer
    x = 11,394.45

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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.