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Finding the Fourth Proportional to 18,521.60, 27,784.80 and 9,166.40

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Solution

The fourth proportional to 18,521.60, 27,784.80 and 9,166.40 is: 13,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,521.60 : 27,784.80 = 9,166.40 : x
  2. Step 2: Convert to fraction form
    18,521.60/27,784.80 = 9,166.40/x
  3. Step 3: Cross multiply
    18,521.60x = 27,784.80 × 9,166.40
  4. Step 4: Simplify right side
    18,521.60x = 254,686,590.72
  5. Step 5: Solve for x
    x = 254,686,590.72/18,521.60
  6. Step 6: Final answer
    x = 13,750.79

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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.