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Finding the Fourth Proportional to 19,952.40, 29,909.16 and 9,558.48

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Solution

The fourth proportional to 19,952.40, 29,909.16 and 9,558.48 is: 14,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952.40 : 29,909.16 = 9,558.48 : x
  2. Step 2: Convert to fraction form
    19,952.40/29,909.16 = 9,558.48/x
  3. Step 3: Cross multiply
    19,952.40x = 29,909.16 × 9,558.48
  4. Step 4: Simplify right side
    19,952.40x = 285,886,107.68
  5. Step 5: Solve for x
    x = 285,886,107.68/19,952.40
  6. Step 6: Final answer
    x = 14,328.41

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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.