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Finding the Fourth Proportional to 14,150.34, 21,225.78 and 3,762

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Solution

The fourth proportional to 14,150.34, 21,225.78 and 3,762 is: 5,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,150.34 : 21,225.78 = 3,762 : x
  2. Step 2: Convert to fraction form
    14,150.34/21,225.78 = 3,762/x
  3. Step 3: Cross multiply
    14,150.34x = 21,225.78 × 3,762
  4. Step 4: Simplify right side
    14,150.34x = 79,851,384.36
  5. Step 5: Solve for x
    x = 79,851,384.36/14,150.34
  6. Step 6: Final answer
    x = 5,643.07

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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.