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Finding the Fourth Proportional to 16,162.46, 22,303.38 and 9,088.46

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Solution

The fourth proportional to 16,162.46, 22,303.38 and 9,088.46 is: 12,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.46 : 22,303.38 = 9,088.46 : x
  2. Step 2: Convert to fraction form
    16,162.46/22,303.38 = 9,088.46/x
  3. Step 3: Cross multiply
    16,162.46x = 22,303.38 × 9,088.46
  4. Step 4: Simplify right side
    16,162.46x = 202,703,376.99
  5. Step 5: Solve for x
    x = 202,703,376.99/16,162.46
  6. Step 6: Final answer
    x = 12,541.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.