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Finding the Fourth Proportional to 12,312.46, 16,990.32 and 9,666.19

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Solution

The fourth proportional to 12,312.46, 16,990.32 and 9,666.19 is: 13,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.46 : 16,990.32 = 9,666.19 : x
  2. Step 2: Convert to fraction form
    12,312.46/16,990.32 = 9,666.19/x
  3. Step 3: Cross multiply
    12,312.46x = 16,990.32 × 9,666.19
  4. Step 4: Simplify right side
    12,312.46x = 164,231,661.28
  5. Step 5: Solve for x
    x = 164,231,661.28/12,312.46
  6. Step 6: Final answer
    x = 13,338.66

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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.