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Finding the Fourth Proportional to 16,427.64, 24,656.10 and 7,667.52

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Solution

The fourth proportional to 16,427.64, 24,656.10 and 7,667.52 is: 11,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.64 : 24,656.10 = 7,667.52 : x
  2. Step 2: Convert to fraction form
    16,427.64/24,656.10 = 7,667.52/x
  3. Step 3: Cross multiply
    16,427.64x = 24,656.10 × 7,667.52
  4. Step 4: Simplify right side
    16,427.64x = 189,051,139.87
  5. Step 5: Solve for x
    x = 189,051,139.87/16,427.64
  6. Step 6: Final answer
    x = 11,508.11

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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.