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Finding the Fourth Proportional to 22,378.63, 30,878.47 and 12,688.12

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Solution

The fourth proportional to 22,378.63, 30,878.47 and 12,688.12 is: 17,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.63 : 30,878.47 = 12,688.12 : x
  2. Step 2: Convert to fraction form
    22,378.63/30,878.47 = 12,688.12/x
  3. Step 3: Cross multiply
    22,378.63x = 30,878.47 × 12,688.12
  4. Step 4: Simplify right side
    22,378.63x = 391,789,732.78
  5. Step 5: Solve for x
    x = 391,789,732.78/22,378.63
  6. Step 6: Final answer
    x = 17,507.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.