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Finding the Fourth Proportional to 10,827.30, 16,216.65 and 10,827.30

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Solution

The fourth proportional to 10,827.30, 16,216.65 and 10,827.30 is: 16,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.30 : 16,216.65 = 10,827.30 : x
  2. Step 2: Convert to fraction form
    10,827.30/16,216.65 = 10,827.30/x
  3. Step 3: Cross multiply
    10,827.30x = 16,216.65 × 10,827.30
  4. Step 4: Simplify right side
    10,827.30x = 175,582,534.55
  5. Step 5: Solve for x
    x = 175,582,534.55/10,827.30
  6. Step 6: Final answer
    x = 16,216.65

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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.