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Finding the Fourth Proportional to 22,056.96, 30,438.12 and 12,496.08

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Solution

The fourth proportional to 22,056.96, 30,438.12 and 12,496.08 is: 17,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,056.96 : 30,438.12 = 12,496.08 : x
  2. Step 2: Convert to fraction form
    22,056.96/30,438.12 = 12,496.08/x
  3. Step 3: Cross multiply
    22,056.96x = 30,438.12 × 12,496.08
  4. Step 4: Simplify right side
    22,056.96x = 380,357,182.57
  5. Step 5: Solve for x
    x = 380,357,182.57/22,056.96
  6. Step 6: Final answer
    x = 17,244.32

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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.