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Finding the Fourth Proportional to 17,784.18, 26,684.01 and 8,430.75

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Solution

The fourth proportional to 17,784.18, 26,684.01 and 8,430.75 is: 12,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.18 : 26,684.01 = 8,430.75 : x
  2. Step 2: Convert to fraction form
    17,784.18/26,684.01 = 8,430.75/x
  3. Step 3: Cross multiply
    17,784.18x = 26,684.01 × 8,430.75
  4. Step 4: Simplify right side
    17,784.18x = 224,966,217.31
  5. Step 5: Solve for x
    x = 224,966,217.31/17,784.18
  6. Step 6: Final answer
    x = 12,649.79

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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.