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Finding the Fourth Proportional to 22,345.77, 30,837.88 and 12,914.34

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Solution

The fourth proportional to 22,345.77, 30,837.88 and 12,914.34 is: 17,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.77 : 30,837.88 = 12,914.34 : x
  2. Step 2: Convert to fraction form
    22,345.77/30,837.88 = 12,914.34/x
  3. Step 3: Cross multiply
    22,345.77x = 30,837.88 × 12,914.34
  4. Step 4: Simplify right side
    22,345.77x = 398,250,767.70
  5. Step 5: Solve for x
    x = 398,250,767.70/22,345.77
  6. Step 6: Final answer
    x = 17,822.20

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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.