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Finding the Fourth Proportional to 12,035.32, 16,609.02 and 6,657.76

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Solution

The fourth proportional to 12,035.32, 16,609.02 and 6,657.76 is: 9,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.32 : 16,609.02 = 6,657.76 : x
  2. Step 2: Convert to fraction form
    12,035.32/16,609.02 = 6,657.76/x
  3. Step 3: Cross multiply
    12,035.32x = 16,609.02 × 6,657.76
  4. Step 4: Simplify right side
    12,035.32x = 110,578,869.00
  5. Step 5: Solve for x
    x = 110,578,869.00/12,035.32
  6. Step 6: Final answer
    x = 9,187.86

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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.