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Finding the Fourth Proportional to 16,162.65, 22,302.88 and 9,088.92

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Solution

The fourth proportional to 16,162.65, 22,302.88 and 9,088.92 is: 12,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.65 : 22,302.88 = 9,088.92 : x
  2. Step 2: Convert to fraction form
    16,162.65/22,302.88 = 9,088.92/x
  3. Step 3: Cross multiply
    16,162.65x = 22,302.88 × 9,088.92
  4. Step 4: Simplify right side
    16,162.65x = 202,709,069.37
  5. Step 5: Solve for x
    x = 202,709,069.37/16,162.65
  6. Step 6: Final answer
    x = 12,541.82

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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.