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Finding the Fourth Proportional to 22,925.76, 31,638.72 and 12,856.32

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Solution

The fourth proportional to 22,925.76, 31,638.72 and 12,856.32 is: 17,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,925.76 : 31,638.72 = 12,856.32 : x
  2. Step 2: Convert to fraction form
    22,925.76/31,638.72 = 12,856.32/x
  3. Step 3: Cross multiply
    22,925.76x = 31,638.72 × 12,856.32
  4. Step 4: Simplify right side
    22,925.76x = 406,757,508.71
  5. Step 5: Solve for x
    x = 406,757,508.71/22,925.76
  6. Step 6: Final answer
    x = 17,742.38

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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.