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Finding the Fourth Proportional to 22,582.78, 31,143.93 and 14,616.70

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Solution

The fourth proportional to 22,582.78, 31,143.93 and 14,616.70 is: 20,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.78 : 31,143.93 = 14,616.70 : x
  2. Step 2: Convert to fraction form
    22,582.78/31,143.93 = 14,616.70/x
  3. Step 3: Cross multiply
    22,582.78x = 31,143.93 × 14,616.70
  4. Step 4: Simplify right side
    22,582.78x = 455,221,481.63
  5. Step 5: Solve for x
    x = 455,221,481.63/22,582.78
  6. Step 6: Final answer
    x = 20,157.90

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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.