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Finding the Fourth Proportional to 15,339, 23,008.50 and 6,111.48

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Solution

The fourth proportional to 15,339, 23,008.50 and 6,111.48 is: 9,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,339 : 23,008.50 = 6,111.48 : x
  2. Step 2: Convert to fraction form
    15,339/23,008.50 = 6,111.48/x
  3. Step 3: Cross multiply
    15,339x = 23,008.50 × 6,111.48
  4. Step 4: Simplify right side
    15,339x = 140,615,987.58
  5. Step 5: Solve for x
    x = 140,615,987.58/15,339
  6. Step 6: Final answer
    x = 9,167.22

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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.