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Finding the Fourth Proportional to 14,642.50, 20,208.24 and 9,610.78

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Solution

The fourth proportional to 14,642.50, 20,208.24 and 9,610.78 is: 13,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.50 : 20,208.24 = 9,610.78 : x
  2. Step 2: Convert to fraction form
    14,642.50/20,208.24 = 9,610.78/x
  3. Step 3: Cross multiply
    14,642.50x = 20,208.24 × 9,610.78
  4. Step 4: Simplify right side
    14,642.50x = 194,216,948.83
  5. Step 5: Solve for x
    x = 194,216,948.83/14,642.50
  6. Step 6: Final answer
    x = 13,263.92

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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.