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Finding the Fourth Proportional to 22,540.77, 31,106.29 and 12,331.93

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Solution

The fourth proportional to 22,540.77, 31,106.29 and 12,331.93 is: 17,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540.77 : 31,106.29 = 12,331.93 : x
  2. Step 2: Convert to fraction form
    22,540.77/31,106.29 = 12,331.93/x
  3. Step 3: Cross multiply
    22,540.77x = 31,106.29 × 12,331.93
  4. Step 4: Simplify right side
    22,540.77x = 383,600,590.84
  5. Step 5: Solve for x
    x = 383,600,590.84/22,540.77
  6. Step 6: Final answer
    x = 17,018.08

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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.