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Finding the Fourth Proportional to 15,225.26, 22,837.36 and 5,364.32

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Solution

The fourth proportional to 15,225.26, 22,837.36 and 5,364.32 is: 8,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,225.26 : 22,837.36 = 5,364.32 : x
  2. Step 2: Convert to fraction form
    15,225.26/22,837.36 = 5,364.32/x
  3. Step 3: Cross multiply
    15,225.26x = 22,837.36 × 5,364.32
  4. Step 4: Simplify right side
    15,225.26x = 122,506,977.50
  5. Step 5: Solve for x
    x = 122,506,977.50/15,225.26
  6. Step 6: Final answer
    x = 8,046.30

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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.