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Finding the Fourth Proportional to 28,903.38, 39,874.86 and 22,911

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Solution

The fourth proportional to 28,903.38, 39,874.86 and 22,911 is: 31,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,903.38 : 39,874.86 = 22,911 : x
  2. Step 2: Convert to fraction form
    28,903.38/39,874.86 = 22,911/x
  3. Step 3: Cross multiply
    28,903.38x = 39,874.86 × 22,911
  4. Step 4: Simplify right side
    28,903.38x = 913,572,917.46
  5. Step 5: Solve for x
    x = 913,572,917.46/28,903.38
  6. Step 6: Final answer
    x = 31,607.82

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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.