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Finding the Fourth Proportional to 21,508.14, 32,256.44 and 5,922.06

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Solution

The fourth proportional to 21,508.14, 32,256.44 and 5,922.06 is: 8,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,508.14 : 32,256.44 = 5,922.06 : x
  2. Step 2: Convert to fraction form
    21,508.14/32,256.44 = 5,922.06/x
  3. Step 3: Cross multiply
    21,508.14x = 32,256.44 × 5,922.06
  4. Step 4: Simplify right side
    21,508.14x = 191,024,573.07
  5. Step 5: Solve for x
    x = 191,024,573.07/21,508.14
  6. Step 6: Final answer
    x = 8,881.50

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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.