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Finding the Fourth Proportional to 21,406.52, 32,101.81 and 7,362.60

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Solution

The fourth proportional to 21,406.52, 32,101.81 and 7,362.60 is: 11,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.52 : 32,101.81 = 7,362.60 : x
  2. Step 2: Convert to fraction form
    21,406.52/32,101.81 = 7,362.60/x
  3. Step 3: Cross multiply
    21,406.52x = 32,101.81 × 7,362.60
  4. Step 4: Simplify right side
    21,406.52x = 236,352,767.90
  5. Step 5: Solve for x
    x = 236,352,767.90/21,406.52
  6. Step 6: Final answer
    x = 11,041.16

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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.