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Finding the Fourth Proportional to 16,534.16, 24,801.56 and 6,538.64

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Solution

The fourth proportional to 16,534.16, 24,801.56 and 6,538.64 is: 9,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.16 : 24,801.56 = 6,538.64 : x
  2. Step 2: Convert to fraction form
    16,534.16/24,801.56 = 6,538.64/x
  3. Step 3: Cross multiply
    16,534.16x = 24,801.56 × 6,538.64
  4. Step 4: Simplify right side
    16,534.16x = 162,168,472.28
  5. Step 5: Solve for x
    x = 162,168,472.28/16,534.16
  6. Step 6: Final answer
    x = 9,808.09

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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.