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Finding the Fourth Proportional to 21,612.11, 32,426.81 and 7,762.19

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Solution

The fourth proportional to 21,612.11, 32,426.81 and 7,762.19 is: 11,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612.11 : 32,426.81 = 7,762.19 : x
  2. Step 2: Convert to fraction form
    21,612.11/32,426.81 = 7,762.19/x
  3. Step 3: Cross multiply
    21,612.11x = 32,426.81 × 7,762.19
  4. Step 4: Simplify right side
    21,612.11x = 251,703,021.50
  5. Step 5: Solve for x
    x = 251,703,021.50/21,612.11
  6. Step 6: Final answer
    x = 11,646.39

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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.