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Finding the Fourth Proportional to 24,504.16, 33,776.40 and 16,543.84

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Solution

The fourth proportional to 24,504.16, 33,776.40 and 16,543.84 is: 22,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,504.16 : 33,776.40 = 16,543.84 : x
  2. Step 2: Convert to fraction form
    24,504.16/33,776.40 = 16,543.84/x
  3. Step 3: Cross multiply
    24,504.16x = 33,776.40 × 16,543.84
  4. Step 4: Simplify right side
    24,504.16x = 558,791,357.38
  5. Step 5: Solve for x
    x = 558,791,357.38/24,504.16
  6. Step 6: Final answer
    x = 22,803.94

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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.