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Finding the Fourth Proportional to 14,543.50, 20,070.30 and 8,256.28

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Solution

The fourth proportional to 14,543.50, 20,070.30 and 8,256.28 is: 11,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.50 : 20,070.30 = 8,256.28 : x
  2. Step 2: Convert to fraction form
    14,543.50/20,070.30 = 8,256.28/x
  3. Step 3: Cross multiply
    14,543.50x = 20,070.30 × 8,256.28
  4. Step 4: Simplify right side
    14,543.50x = 165,706,016.48
  5. Step 5: Solve for x
    x = 165,706,016.48/14,543.50
  6. Step 6: Final answer
    x = 11,393.82

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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.