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Finding the Fourth Proportional to 17,625.11, 24,322.68 and 9,667.40

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Solution

The fourth proportional to 17,625.11, 24,322.68 and 9,667.40 is: 13,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.11 : 24,322.68 = 9,667.40 : x
  2. Step 2: Convert to fraction form
    17,625.11/24,322.68 = 9,667.40/x
  3. Step 3: Cross multiply
    17,625.11x = 24,322.68 × 9,667.40
  4. Step 4: Simplify right side
    17,625.11x = 235,136,955.02
  5. Step 5: Solve for x
    x = 235,136,955.02/17,625.11
  6. Step 6: Final answer
    x = 13,341.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.