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Finding the Fourth Proportional to 15,729.38, 21,706.35 and 8,559.50

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Solution

The fourth proportional to 15,729.38, 21,706.35 and 8,559.50 is: 11,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.38 : 21,706.35 = 8,559.50 : x
  2. Step 2: Convert to fraction form
    15,729.38/21,706.35 = 8,559.50/x
  3. Step 3: Cross multiply
    15,729.38x = 21,706.35 × 8,559.50
  4. Step 4: Simplify right side
    15,729.38x = 185,795,394.29
  5. Step 5: Solve for x
    x = 185,795,394.29/15,729.38
  6. Step 6: Final answer
    x = 11,812.00

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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.