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Finding the Fourth Proportional to 21,969.04, 32,943.60 and 9,483.20

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Solution

The fourth proportional to 21,969.04, 32,943.60 and 9,483.20 is: 14,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.04 : 32,943.60 = 9,483.20 : x
  2. Step 2: Convert to fraction form
    21,969.04/32,943.60 = 9,483.20/x
  3. Step 3: Cross multiply
    21,969.04x = 32,943.60 × 9,483.20
  4. Step 4: Simplify right side
    21,969.04x = 312,410,747.52
  5. Step 5: Solve for x
    x = 312,410,747.52/21,969.04
  6. Step 6: Final answer
    x = 14,220.50

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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.