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Finding the Fourth Proportional to 17,502, 26,265.16 and 7,113.76

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Solution

The fourth proportional to 17,502, 26,265.16 and 7,113.76 is: 10,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,502 : 26,265.16 = 7,113.76 : x
  2. Step 2: Convert to fraction form
    17,502/26,265.16 = 7,113.76/x
  3. Step 3: Cross multiply
    17,502x = 26,265.16 × 7,113.76
  4. Step 4: Simplify right side
    17,502x = 186,844,044.60
  5. Step 5: Solve for x
    x = 186,844,044.60/17,502
  6. Step 6: Final answer
    x = 10,675.58

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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.