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Finding the Fourth Proportional to 22,638.51, 33,952.91 and 14,200.95

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Solution

The fourth proportional to 22,638.51, 33,952.91 and 14,200.95 is: 21,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.51 : 33,952.91 = 14,200.95 : x
  2. Step 2: Convert to fraction form
    22,638.51/33,952.91 = 14,200.95/x
  3. Step 3: Cross multiply
    22,638.51x = 33,952.91 × 14,200.95
  4. Step 4: Simplify right side
    22,638.51x = 482,163,407.02
  5. Step 5: Solve for x
    x = 482,163,407.02/22,638.51
  6. Step 6: Final answer
    x = 21,298.37

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