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Finding the Fourth Proportional to 15,431.90, 23,149.06 and 4,339.50

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Solution

The fourth proportional to 15,431.90, 23,149.06 and 4,339.50 is: 6,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,431.90 : 23,149.06 = 4,339.50 : x
  2. Step 2: Convert to fraction form
    15,431.90/23,149.06 = 4,339.50/x
  3. Step 3: Cross multiply
    15,431.90x = 23,149.06 × 4,339.50
  4. Step 4: Simplify right side
    15,431.90x = 100,455,345.87
  5. Step 5: Solve for x
    x = 100,455,345.87/15,431.90
  6. Step 6: Final answer
    x = 6,509.59

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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.