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Finding the Fourth Proportional to 14,682.30, 22,023.42 and 5,322.06

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Solution

The fourth proportional to 14,682.30, 22,023.42 and 5,322.06 is: 7,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.30 : 22,023.42 = 5,322.06 : x
  2. Step 2: Convert to fraction form
    14,682.30/22,023.42 = 5,322.06/x
  3. Step 3: Cross multiply
    14,682.30x = 22,023.42 × 5,322.06
  4. Step 4: Simplify right side
    14,682.30x = 117,209,962.65
  5. Step 5: Solve for x
    x = 117,209,962.65/14,682.30
  6. Step 6: Final answer
    x = 7,983.08

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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.