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Finding the Fourth Proportional to 21,851.64, 32,750.10 and 9,356.94

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Solution

The fourth proportional to 21,851.64, 32,750.10 and 9,356.94 is: 14,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.64 : 32,750.10 = 9,356.94 : x
  2. Step 2: Convert to fraction form
    21,851.64/32,750.10 = 9,356.94/x
  3. Step 3: Cross multiply
    21,851.64x = 32,750.10 × 9,356.94
  4. Step 4: Simplify right side
    21,851.64x = 306,440,720.69
  5. Step 5: Solve for x
    x = 306,440,720.69/21,851.64
  6. Step 6: Final answer
    x = 14,023.69

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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.