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Finding the Fourth Proportional to 14,675.84, 22,022.40 and 5,448.32

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Solution

The fourth proportional to 14,675.84, 22,022.40 and 5,448.32 is: 8,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.84 : 22,022.40 = 5,448.32 : x
  2. Step 2: Convert to fraction form
    14,675.84/22,022.40 = 5,448.32/x
  3. Step 3: Cross multiply
    14,675.84x = 22,022.40 × 5,448.32
  4. Step 4: Simplify right side
    14,675.84x = 119,985,082.37
  5. Step 5: Solve for x
    x = 119,985,082.37/14,675.84
  6. Step 6: Final answer
    x = 8,175.69

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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.