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Finding the Fourth Proportional to 22,356.39, 30,852.50 and 12,285.14

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Solution

The fourth proportional to 22,356.39, 30,852.50 and 12,285.14 is: 16,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.39 : 30,852.50 = 12,285.14 : x
  2. Step 2: Convert to fraction form
    22,356.39/30,852.50 = 12,285.14/x
  3. Step 3: Cross multiply
    22,356.39x = 30,852.50 × 12,285.14
  4. Step 4: Simplify right side
    22,356.39x = 379,027,066.16
  5. Step 5: Solve for x
    x = 379,027,066.16/22,356.39
  6. Step 6: Final answer
    x = 16,953.86

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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.