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Finding the Fourth Proportional to 12,320.41, 16,999.64 and 7,013.83

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Solution

The fourth proportional to 12,320.41, 16,999.64 and 7,013.83 is: 9,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,320.41 : 16,999.64 = 7,013.83 : x
  2. Step 2: Convert to fraction form
    12,320.41/16,999.64 = 7,013.83/x
  3. Step 3: Cross multiply
    12,320.41x = 16,999.64 × 7,013.83
  4. Step 4: Simplify right side
    12,320.41x = 119,232,585.02
  5. Step 5: Solve for x
    x = 119,232,585.02/12,320.41
  6. Step 6: Final answer
    x = 9,677.65

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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.