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Finding the Fourth Proportional to 21,367.51, 32,047.48 and 5,786.35

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Solution

The fourth proportional to 21,367.51, 32,047.48 and 5,786.35 is: 8,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,367.51 : 32,047.48 = 5,786.35 : x
  2. Step 2: Convert to fraction form
    21,367.51/32,047.48 = 5,786.35/x
  3. Step 3: Cross multiply
    21,367.51x = 32,047.48 × 5,786.35
  4. Step 4: Simplify right side
    21,367.51x = 185,437,935.90
  5. Step 5: Solve for x
    x = 185,437,935.90/21,367.51
  6. Step 6: Final answer
    x = 8,678.50

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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.