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Finding the Fourth Proportional to 14,561.52, 21,842.28 and 9,662.46

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Solution

The fourth proportional to 14,561.52, 21,842.28 and 9,662.46 is: 14,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.52 : 21,842.28 = 9,662.46 : x
  2. Step 2: Convert to fraction form
    14,561.52/21,842.28 = 9,662.46/x
  3. Step 3: Cross multiply
    14,561.52x = 21,842.28 × 9,662.46
  4. Step 4: Simplify right side
    14,561.52x = 211,050,156.81
  5. Step 5: Solve for x
    x = 211,050,156.81/14,561.52
  6. Step 6: Final answer
    x = 14,493.69

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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.