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Finding the Fourth Proportional to 17,019.48, 23,487.44 and 10,306.38

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Solution

The fourth proportional to 17,019.48, 23,487.44 and 10,306.38 is: 14,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,019.48 : 23,487.44 = 10,306.38 : x
  2. Step 2: Convert to fraction form
    17,019.48/23,487.44 = 10,306.38/x
  3. Step 3: Cross multiply
    17,019.48x = 23,487.44 × 10,306.38
  4. Step 4: Simplify right side
    17,019.48x = 242,070,430.34
  5. Step 5: Solve for x
    x = 242,070,430.34/17,019.48
  6. Step 6: Final answer
    x = 14,223.14

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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.