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Finding the Fourth Proportional to 12,154.10, 16,772.67 and 6,565.10

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Solution

The fourth proportional to 12,154.10, 16,772.67 and 6,565.10 is: 9,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.10 : 16,772.67 = 6,565.10 : x
  2. Step 2: Convert to fraction form
    12,154.10/16,772.67 = 6,565.10/x
  3. Step 3: Cross multiply
    12,154.10x = 16,772.67 × 6,565.10
  4. Step 4: Simplify right side
    12,154.10x = 110,114,171.95
  5. Step 5: Solve for x
    x = 110,114,171.95/12,154.10
  6. Step 6: Final answer
    x = 9,059.84

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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.