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Finding the Fourth Proportional to 16,263.82, 24,396 and 4,577.32

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Solution

The fourth proportional to 16,263.82, 24,396 and 4,577.32 is: 6,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,263.82 : 24,396 = 4,577.32 : x
  2. Step 2: Convert to fraction form
    16,263.82/24,396 = 4,577.32/x
  3. Step 3: Cross multiply
    16,263.82x = 24,396 × 4,577.32
  4. Step 4: Simplify right side
    16,263.82x = 111,668,298.72
  5. Step 5: Solve for x
    x = 111,668,298.72/16,263.82
  6. Step 6: Final answer
    x = 6,866.06

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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.