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Finding the Fourth Proportional to 17,201.76, 25,802.76 and 4,721.52

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Solution

The fourth proportional to 17,201.76, 25,802.76 and 4,721.52 is: 7,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.76 : 25,802.76 = 4,721.52 : x
  2. Step 2: Convert to fraction form
    17,201.76/25,802.76 = 4,721.52/x
  3. Step 3: Cross multiply
    17,201.76x = 25,802.76 × 4,721.52
  4. Step 4: Simplify right side
    17,201.76x = 121,828,247.40
  5. Step 5: Solve for x
    x = 121,828,247.40/17,201.76
  6. Step 6: Final answer
    x = 7,082.31

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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.