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Finding the Fourth Proportional to 21,802.50, 32,704.08 and 6,220.14

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Solution

The fourth proportional to 21,802.50, 32,704.08 and 6,220.14 is: 9,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.50 : 32,704.08 = 6,220.14 : x
  2. Step 2: Convert to fraction form
    21,802.50/32,704.08 = 6,220.14/x
  3. Step 3: Cross multiply
    21,802.50x = 32,704.08 × 6,220.14
  4. Step 4: Simplify right side
    21,802.50x = 203,423,956.17
  5. Step 5: Solve for x
    x = 203,423,956.17/21,802.50
  6. Step 6: Final answer
    x = 9,330.30

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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.