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Finding the Fourth Proportional to 12,020.32, 16,595.40 and 7,772.68

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Solution

The fourth proportional to 12,020.32, 16,595.40 and 7,772.68 is: 10,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020.32 : 16,595.40 = 7,772.68 : x
  2. Step 2: Convert to fraction form
    12,020.32/16,595.40 = 7,772.68/x
  3. Step 3: Cross multiply
    12,020.32x = 16,595.40 × 7,772.68
  4. Step 4: Simplify right side
    12,020.32x = 128,990,733.67
  5. Step 5: Solve for x
    x = 128,990,733.67/12,020.32
  6. Step 6: Final answer
    x = 10,731.06

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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.