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Finding the Fourth Proportional to 18,445, 27,678.84 and 9,686.20

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Solution

The fourth proportional to 18,445, 27,678.84 and 9,686.20 is: 14,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,445 : 27,678.84 = 9,686.20 : x
  2. Step 2: Convert to fraction form
    18,445/27,678.84 = 9,686.20/x
  3. Step 3: Cross multiply
    18,445x = 27,678.84 × 9,686.20
  4. Step 4: Simplify right side
    18,445x = 268,102,780.01
  5. Step 5: Solve for x
    x = 268,102,780.01/18,445
  6. Step 6: Final answer
    x = 14,535.26

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