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Finding the Fourth Proportional to 20,805, 28,711.07 and 11,373.57

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Solution

The fourth proportional to 20,805, 28,711.07 and 11,373.57 is: 15,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805 : 28,711.07 = 11,373.57 : x
  2. Step 2: Convert to fraction form
    20,805/28,711.07 = 11,373.57/x
  3. Step 3: Cross multiply
    20,805x = 28,711.07 × 11,373.57
  4. Step 4: Simplify right side
    20,805x = 326,547,307.55
  5. Step 5: Solve for x
    x = 326,547,307.55/20,805
  6. Step 6: Final answer
    x = 15,695.62

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1.5x scale

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.