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Finding the Fourth Proportional to 21,967.75, 32,944.81 and 7,925.95

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Solution

The fourth proportional to 21,967.75, 32,944.81 and 7,925.95 is: 11,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.75 : 32,944.81 = 7,925.95 : x
  2. Step 2: Convert to fraction form
    21,967.75/32,944.81 = 7,925.95/x
  3. Step 3: Cross multiply
    21,967.75x = 32,944.81 × 7,925.95
  4. Step 4: Simplify right side
    21,967.75x = 261,118,916.82
  5. Step 5: Solve for x
    x = 261,118,916.82/21,967.75
  6. Step 6: Final answer
    x = 11,886.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.