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Finding the Fourth Proportional to 16,298.65, 22,492.67 and 9,224.92

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Solution

The fourth proportional to 16,298.65, 22,492.67 and 9,224.92 is: 12,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.65 : 22,492.67 = 9,224.92 : x
  2. Step 2: Convert to fraction form
    16,298.65/22,492.67 = 9,224.92/x
  3. Step 3: Cross multiply
    16,298.65x = 22,492.67 × 9,224.92
  4. Step 4: Simplify right side
    16,298.65x = 207,493,081.34
  5. Step 5: Solve for x
    x = 207,493,081.34/16,298.65
  6. Step 6: Final answer
    x = 12,730.69

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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.