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Finding the Fourth Proportional to 21,476.66, 32,215.95 and 5,894.42

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Solution

The fourth proportional to 21,476.66, 32,215.95 and 5,894.42 is: 8,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476.66 : 32,215.95 = 5,894.42 : x
  2. Step 2: Convert to fraction form
    21,476.66/32,215.95 = 5,894.42/x
  3. Step 3: Cross multiply
    21,476.66x = 32,215.95 × 5,894.42
  4. Step 4: Simplify right side
    21,476.66x = 189,894,340.00
  5. Step 5: Solve for x
    x = 189,894,340.00/21,476.66
  6. Step 6: Final answer
    x = 8,841.89

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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.