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Finding the Fourth Proportional to 15,364.26, 21,202.74 and 8,650

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Solution

The fourth proportional to 15,364.26, 21,202.74 and 8,650 is: 11,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,364.26 : 21,202.74 = 8,650 : x
  2. Step 2: Convert to fraction form
    15,364.26/21,202.74 = 8,650/x
  3. Step 3: Cross multiply
    15,364.26x = 21,202.74 × 8,650
  4. Step 4: Simplify right side
    15,364.26x = 183,403,701
  5. Step 5: Solve for x
    x = 183,403,701/15,364.26
  6. Step 6: Final answer
    x = 11,937.03

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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.