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Finding the Fourth Proportional to 19,643.36, 29,465.12 and 9,794.88

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Solution

The fourth proportional to 19,643.36, 29,465.12 and 9,794.88 is: 14,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.36 : 29,465.12 = 9,794.88 : x
  2. Step 2: Convert to fraction form
    19,643.36/29,465.12 = 9,794.88/x
  3. Step 3: Cross multiply
    19,643.36x = 29,465.12 × 9,794.88
  4. Step 4: Simplify right side
    19,643.36x = 288,607,314.59
  5. Step 5: Solve for x
    x = 288,607,314.59/19,643.36
  6. Step 6: Final answer
    x = 14,692.36

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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.