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Finding the Fourth Proportional to 21,703.12, 32,559 and 9,223.02

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Solution

The fourth proportional to 21,703.12, 32,559 and 9,223.02 is: 13,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.12 : 32,559 = 9,223.02 : x
  2. Step 2: Convert to fraction form
    21,703.12/32,559 = 9,223.02/x
  3. Step 3: Cross multiply
    21,703.12x = 32,559 × 9,223.02
  4. Step 4: Simplify right side
    21,703.12x = 300,292,308.18
  5. Step 5: Solve for x
    x = 300,292,308.18/21,703.12
  6. Step 6: Final answer
    x = 13,836.37

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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.