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Finding the Fourth Proportional to 17,646.20, 26,469.30 and 7,780.40

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Solution

The fourth proportional to 17,646.20, 26,469.30 and 7,780.40 is: 11,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.20 : 26,469.30 = 7,780.40 : x
  2. Step 2: Convert to fraction form
    17,646.20/26,469.30 = 7,780.40/x
  3. Step 3: Cross multiply
    17,646.20x = 26,469.30 × 7,780.40
  4. Step 4: Simplify right side
    17,646.20x = 205,941,741.72
  5. Step 5: Solve for x
    x = 205,941,741.72/17,646.20
  6. Step 6: Final answer
    x = 11,670.60

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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.