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Finding the Fourth Proportional to 17,607.36, 24,298.19 and 9,649.42

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Solution

The fourth proportional to 17,607.36, 24,298.19 and 9,649.42 is: 13,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,607.36 : 24,298.19 = 9,649.42 : x
  2. Step 2: Convert to fraction form
    17,607.36/24,298.19 = 9,649.42/x
  3. Step 3: Cross multiply
    17,607.36x = 24,298.19 × 9,649.42
  4. Step 4: Simplify right side
    17,607.36x = 234,463,270.81
  5. Step 5: Solve for x
    x = 234,463,270.81/17,607.36
  6. Step 6: Final answer
    x = 13,316.21

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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.