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Finding the Fourth Proportional to 21,862.04, 32,785.00 and 7,818.26

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Solution

The fourth proportional to 21,862.04, 32,785.00 and 7,818.26 is: 11,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.04 : 32,785.00 = 7,818.26 : x
  2. Step 2: Convert to fraction form
    21,862.04/32,785.00 = 7,818.26/x
  3. Step 3: Cross multiply
    21,862.04x = 32,785.00 × 7,818.26
  4. Step 4: Simplify right side
    21,862.04x = 256,321,514.61
  5. Step 5: Solve for x
    x = 256,321,514.61/21,862.04
  6. Step 6: Final answer
    x = 11,724.50

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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.