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Finding the Fourth Proportional to 15,230, 21,017.40 and 8,606

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Solution

The fourth proportional to 15,230, 21,017.40 and 8,606 is: 11,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,230 : 21,017.40 = 8,606 : x
  2. Step 2: Convert to fraction form
    15,230/21,017.40 = 8,606/x
  3. Step 3: Cross multiply
    15,230x = 21,017.40 × 8,606
  4. Step 4: Simplify right side
    15,230x = 180,875,744.40
  5. Step 5: Solve for x
    x = 180,875,744.40/15,230
  6. Step 6: Final answer
    x = 11,876.28

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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.