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Finding the Fourth Proportional to 17,700.65, 26,567.40 and 8,941.71

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Solution

The fourth proportional to 17,700.65, 26,567.40 and 8,941.71 is: 13,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.65 : 26,567.40 = 8,941.71 : x
  2. Step 2: Convert to fraction form
    17,700.65/26,567.40 = 8,941.71/x
  3. Step 3: Cross multiply
    17,700.65x = 26,567.40 × 8,941.71
  4. Step 4: Simplify right side
    17,700.65x = 237,557,986.25
  5. Step 5: Solve for x
    x = 237,557,986.25/17,700.65
  6. Step 6: Final answer
    x = 13,420.87

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Why These Related Problems?

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