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Finding the Fourth Proportional to 24,306, 33,542.30 and 13,128

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Solution

The fourth proportional to 24,306, 33,542.30 and 13,128 is: 18,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306 : 33,542.30 = 13,128 : x
  2. Step 2: Convert to fraction form
    24,306/33,542.30 = 13,128/x
  3. Step 3: Cross multiply
    24,306x = 33,542.30 × 13,128
  4. Step 4: Simplify right side
    24,306x = 440,343,347.22
  5. Step 5: Solve for x
    x = 440,343,347.22/24,306
  6. Step 6: Final answer
    x = 18,116.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.