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Finding the Fourth Proportional to 16,582.80, 22,904.81 and 12,038.22

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Solution

The fourth proportional to 16,582.80, 22,904.81 and 12,038.22 is: 16,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.80 : 22,904.81 = 12,038.22 : x
  2. Step 2: Convert to fraction form
    16,582.80/22,904.81 = 12,038.22/x
  3. Step 3: Cross multiply
    16,582.80x = 22,904.81 × 12,038.22
  4. Step 4: Simplify right side
    16,582.80x = 275,733,081.65
  5. Step 5: Solve for x
    x = 275,733,081.65/16,582.80
  6. Step 6: Final answer
    x = 16,627.66

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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.