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Finding the Fourth Proportional to 18,532.16, 27,798.68 and 6,686.93

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Solution

The fourth proportional to 18,532.16, 27,798.68 and 6,686.93 is: 10,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532.16 : 27,798.68 = 6,686.93 : x
  2. Step 2: Convert to fraction form
    18,532.16/27,798.68 = 6,686.93/x
  3. Step 3: Cross multiply
    18,532.16x = 27,798.68 × 6,686.93
  4. Step 4: Simplify right side
    18,532.16x = 185,887,654.82
  5. Step 5: Solve for x
    x = 185,887,654.82/18,532.16
  6. Step 6: Final answer
    x = 10,030.55

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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.