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Finding the Fourth Proportional to 21,962.30, 32,946.65 and 7,167.58

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Solution

The fourth proportional to 21,962.30, 32,946.65 and 7,167.58 is: 10,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.30 : 32,946.65 = 7,167.58 : x
  2. Step 2: Convert to fraction form
    21,962.30/32,946.65 = 7,167.58/x
  3. Step 3: Cross multiply
    21,962.30x = 32,946.65 × 7,167.58
  4. Step 4: Simplify right side
    21,962.30x = 236,147,749.61
  5. Step 5: Solve for x
    x = 236,147,749.61/21,962.30
  6. Step 6: Final answer
    x = 10,752.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.