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Finding the Fourth Proportional to 28,897.38, 39,866.58 and 22,905

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Solution

The fourth proportional to 28,897.38, 39,866.58 and 22,905 is: 31,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,897.38 : 39,866.58 = 22,905 : x
  2. Step 2: Convert to fraction form
    28,897.38/39,866.58 = 22,905/x
  3. Step 3: Cross multiply
    28,897.38x = 39,866.58 × 22,905
  4. Step 4: Simplify right side
    28,897.38x = 913,144,014.90
  5. Step 5: Solve for x
    x = 913,144,014.90/28,897.38
  6. Step 6: Final answer
    x = 31,599.54

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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.