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Finding the Fourth Proportional to 24,923.42, 34,394.07 and 14,316.38

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Solution

The fourth proportional to 24,923.42, 34,394.07 and 14,316.38 is: 19,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923.42 : 34,394.07 = 14,316.38 : x
  2. Step 2: Convert to fraction form
    24,923.42/34,394.07 = 14,316.38/x
  3. Step 3: Cross multiply
    24,923.42x = 34,394.07 × 14,316.38
  4. Step 4: Simplify right side
    24,923.42x = 492,398,575.87
  5. Step 5: Solve for x
    x = 492,398,575.87/24,923.42
  6. Step 6: Final answer
    x = 19,756.46

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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.