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Finding the Fourth Proportional to 24,703.78, 34,110.87 and 22,814.67

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Solution

The fourth proportional to 24,703.78, 34,110.87 and 22,814.67 is: 31,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,703.78 : 34,110.87 = 22,814.67 : x
  2. Step 2: Convert to fraction form
    24,703.78/34,110.87 = 22,814.67/x
  3. Step 3: Cross multiply
    24,703.78x = 34,110.87 × 22,814.67
  4. Step 4: Simplify right side
    24,703.78x = 778,227,957.84
  5. Step 5: Solve for x
    x = 778,227,957.84/24,703.78
  6. Step 6: Final answer
    x = 31,502.39

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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.