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Finding the Fourth Proportional to 15,539.93, 23,287.22 and 7,738.01

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Solution

The fourth proportional to 15,539.93, 23,287.22 and 7,738.01 is: 11,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,539.93 : 23,287.22 = 7,738.01 : x
  2. Step 2: Convert to fraction form
    15,539.93/23,287.22 = 7,738.01/x
  3. Step 3: Cross multiply
    15,539.93x = 23,287.22 × 7,738.01
  4. Step 4: Simplify right side
    15,539.93x = 180,196,702.54
  5. Step 5: Solve for x
    x = 180,196,702.54/15,539.93
  6. Step 6: Final answer
    x = 11,595.72

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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.