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Finding the Fourth Proportional to 17,709.60, 26,567.60 and 8,922.40

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Solution

The fourth proportional to 17,709.60, 26,567.60 and 8,922.40 is: 13,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.60 : 26,567.60 = 8,922.40 : x
  2. Step 2: Convert to fraction form
    17,709.60/26,567.60 = 8,922.40/x
  3. Step 3: Cross multiply
    17,709.60x = 26,567.60 × 8,922.40
  4. Step 4: Simplify right side
    17,709.60x = 237,046,754.24
  5. Step 5: Solve for x
    x = 237,046,754.24/17,709.60
  6. Step 6: Final answer
    x = 13,385.21

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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.