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Finding the Fourth Proportional to 16,378.29, 22,602.65 and 9,305.91

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Solution

The fourth proportional to 16,378.29, 22,602.65 and 9,305.91 is: 12,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.29 : 22,602.65 = 9,305.91 : x
  2. Step 2: Convert to fraction form
    16,378.29/22,602.65 = 9,305.91/x
  3. Step 3: Cross multiply
    16,378.29x = 22,602.65 × 9,305.91
  4. Step 4: Simplify right side
    16,378.29x = 210,338,180.13
  5. Step 5: Solve for x
    x = 210,338,180.13/16,378.29
  6. Step 6: Final answer
    x = 12,842.50

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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.