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Finding the Fourth Proportional to 21,932.32, 32,894.64 and 7,139.08

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Solution

The fourth proportional to 21,932.32, 32,894.64 and 7,139.08 is: 10,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.32 : 32,894.64 = 7,139.08 : x
  2. Step 2: Convert to fraction form
    21,932.32/32,894.64 = 7,139.08/x
  3. Step 3: Cross multiply
    21,932.32x = 32,894.64 × 7,139.08
  4. Step 4: Simplify right side
    21,932.32x = 234,837,466.53
  5. Step 5: Solve for x
    x = 234,837,466.53/21,932.32
  6. Step 6: Final answer
    x = 10,707.37

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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.