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Finding the Fourth Proportional to 14,862.44, 20,524.05 and 9,566.46

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Solution

The fourth proportional to 14,862.44, 20,524.05 and 9,566.46 is: 13,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.44 : 20,524.05 = 9,566.46 : x
  2. Step 2: Convert to fraction form
    14,862.44/20,524.05 = 9,566.46/x
  3. Step 3: Cross multiply
    14,862.44x = 20,524.05 × 9,566.46
  4. Step 4: Simplify right side
    14,862.44x = 196,342,503.36
  5. Step 5: Solve for x
    x = 196,342,503.36/14,862.44
  6. Step 6: Final answer
    x = 13,210.65

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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.