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Finding the Fourth Proportional to 10,670.94, 16,023.69 and 10,221.66

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Solution

The fourth proportional to 10,670.94, 16,023.69 and 10,221.66 is: 15,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.94 : 16,023.69 = 10,221.66 : x
  2. Step 2: Convert to fraction form
    10,670.94/16,023.69 = 10,221.66/x
  3. Step 3: Cross multiply
    10,670.94x = 16,023.69 × 10,221.66
  4. Step 4: Simplify right side
    10,670.94x = 163,788,711.13
  5. Step 5: Solve for x
    x = 163,788,711.13/10,670.94
  6. Step 6: Final answer
    x = 15,349.04

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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.