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Finding the Fourth Proportional to 22,533.84, 31,086.36 and 14,578.65

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Solution

The fourth proportional to 22,533.84, 31,086.36 and 14,578.65 is: 20,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.84 : 31,086.36 = 14,578.65 : x
  2. Step 2: Convert to fraction form
    22,533.84/31,086.36 = 14,578.65/x
  3. Step 3: Cross multiply
    22,533.84x = 31,086.36 × 14,578.65
  4. Step 4: Simplify right side
    22,533.84x = 453,197,162.21
  5. Step 5: Solve for x
    x = 453,197,162.21/22,533.84
  6. Step 6: Final answer
    x = 20,111.85

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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.