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Finding the Fourth Proportional to 24,373.64, 33,632 and 13,763.06

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Solution

The fourth proportional to 24,373.64, 33,632 and 13,763.06 is: 18,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,373.64 : 33,632 = 13,763.06 : x
  2. Step 2: Convert to fraction form
    24,373.64/33,632 = 13,763.06/x
  3. Step 3: Cross multiply
    24,373.64x = 33,632 × 13,763.06
  4. Step 4: Simplify right side
    24,373.64x = 462,879,233.92
  5. Step 5: Solve for x
    x = 462,879,233.92/24,373.64
  6. Step 6: Final answer
    x = 18,990.98

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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.