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Finding the Fourth Proportional to 22,078.98, 33,118.47 and 12,838.50

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Solution

The fourth proportional to 22,078.98, 33,118.47 and 12,838.50 is: 19,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.98 : 33,118.47 = 12,838.50 : x
  2. Step 2: Convert to fraction form
    22,078.98/33,118.47 = 12,838.50/x
  3. Step 3: Cross multiply
    22,078.98x = 33,118.47 × 12,838.50
  4. Step 4: Simplify right side
    22,078.98x = 425,191,477.10
  5. Step 5: Solve for x
    x = 425,191,477.10/22,078.98
  6. Step 6: Final answer
    x = 19,257.75

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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.