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Finding the Fourth Proportional to 21,706.29, 32,559.43 and 10,013.13

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Solution

The fourth proportional to 21,706.29, 32,559.43 and 10,013.13 is: 15,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.29 : 32,559.43 = 10,013.13 : x
  2. Step 2: Convert to fraction form
    21,706.29/32,559.43 = 10,013.13/x
  3. Step 3: Cross multiply
    21,706.29x = 32,559.43 × 10,013.13
  4. Step 4: Simplify right side
    21,706.29x = 326,021,805.32
  5. Step 5: Solve for x
    x = 326,021,805.32/21,706.29
  6. Step 6: Final answer
    x = 15,019.69

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1.5x scale

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.