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Finding the Fourth Proportional to 16,306.24, 22,504.62 and 9,232.51

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Solution

The fourth proportional to 16,306.24, 22,504.62 and 9,232.51 is: 12,742.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.24 : 22,504.62 = 9,232.51 : x
  2. Step 2: Convert to fraction form
    16,306.24/22,504.62 = 9,232.51/x
  3. Step 3: Cross multiply
    16,306.24x = 22,504.62 × 9,232.51
  4. Step 4: Simplify right side
    16,306.24x = 207,774,129.20
  5. Step 5: Solve for x
    x = 207,774,129.20/16,306.24
  6. Step 6: Final answer
    x = 12,742.00

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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.