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Finding the Fourth Proportional to 22,977.78, 34,483.95 and 18,415.86

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Solution

The fourth proportional to 22,977.78, 34,483.95 and 18,415.86 is: 27,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.78 : 34,483.95 = 18,415.86 : x
  2. Step 2: Convert to fraction form
    22,977.78/34,483.95 = 18,415.86/x
  3. Step 3: Cross multiply
    22,977.78x = 34,483.95 × 18,415.86
  4. Step 4: Simplify right side
    22,977.78x = 635,051,595.45
  5. Step 5: Solve for x
    x = 635,051,595.45/22,977.78
  6. Step 6: Final answer
    x = 27,637.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.