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Finding the Fourth Proportional to 18,582.80, 27,864.63 and 7,486.52

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Solution

The fourth proportional to 18,582.80, 27,864.63 and 7,486.52 is: 11,225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.80 : 27,864.63 = 7,486.52 : x
  2. Step 2: Convert to fraction form
    18,582.80/27,864.63 = 7,486.52/x
  3. Step 3: Cross multiply
    18,582.80x = 27,864.63 × 7,486.52
  4. Step 4: Simplify right side
    18,582.80x = 208,608,970.46
  5. Step 5: Solve for x
    x = 208,608,970.46/18,582.80
  6. Step 6: Final answer
    x = 11,225.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.