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Finding the Fourth Proportional to 24,507.32, 33,821.93 and 13,753.46

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Solution

The fourth proportional to 24,507.32, 33,821.93 and 13,753.46 is: 18,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.32 : 33,821.93 = 13,753.46 : x
  2. Step 2: Convert to fraction form
    24,507.32/33,821.93 = 13,753.46/x
  3. Step 3: Cross multiply
    24,507.32x = 33,821.93 × 13,753.46
  4. Step 4: Simplify right side
    24,507.32x = 465,168,561.38
  5. Step 5: Solve for x
    x = 465,168,561.38/24,507.32
  6. Step 6: Final answer
    x = 18,980.80

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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.