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Finding the Fourth Proportional to 16,538.18, 22,822.16 and 9,464.45

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Solution

The fourth proportional to 16,538.18, 22,822.16 and 9,464.45 is: 13,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.18 : 22,822.16 = 9,464.45 : x
  2. Step 2: Convert to fraction form
    16,538.18/22,822.16 = 9,464.45/x
  3. Step 3: Cross multiply
    16,538.18x = 22,822.16 × 9,464.45
  4. Step 4: Simplify right side
    16,538.18x = 215,999,030.78
  5. Step 5: Solve for x
    x = 215,999,030.78/16,538.18
  6. Step 6: Final answer
    x = 13,060.63

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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.