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Finding the Fourth Proportional to 22,138.51, 30,548.69 and 13,184.77

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Solution

The fourth proportional to 22,138.51, 30,548.69 and 13,184.77 is: 18,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.51 : 30,548.69 = 13,184.77 : x
  2. Step 2: Convert to fraction form
    22,138.51/30,548.69 = 13,184.77/x
  3. Step 3: Cross multiply
    22,138.51x = 30,548.69 × 13,184.77
  4. Step 4: Simplify right side
    22,138.51x = 402,777,385.53
  5. Step 5: Solve for x
    x = 402,777,385.53/22,138.51
  6. Step 6: Final answer
    x = 18,193.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.