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Finding the Fourth Proportional to 17,032.72, 23,505.15 and 9,580.72

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Solution

The fourth proportional to 17,032.72, 23,505.15 and 9,580.72 is: 13,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.72 : 23,505.15 = 9,580.72 : x
  2. Step 2: Convert to fraction form
    17,032.72/23,505.15 = 9,580.72/x
  3. Step 3: Cross multiply
    17,032.72x = 23,505.15 × 9,580.72
  4. Step 4: Simplify right side
    17,032.72x = 225,196,260.71
  5. Step 5: Solve for x
    x = 225,196,260.71/17,032.72
  6. Step 6: Final answer
    x = 13,221.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.