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Finding the Fourth Proportional to 15,256, 22,881.30 and 6,934.06

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Solution

The fourth proportional to 15,256, 22,881.30 and 6,934.06 is: 10,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,256 : 22,881.30 = 6,934.06 : x
  2. Step 2: Convert to fraction form
    15,256/22,881.30 = 6,934.06/x
  3. Step 3: Cross multiply
    15,256x = 22,881.30 × 6,934.06
  4. Step 4: Simplify right side
    15,256x = 158,660,307.08
  5. Step 5: Solve for x
    x = 158,660,307.08/15,256
  6. Step 6: Final answer
    x = 10,399.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.