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Finding the Fourth Proportional to 17,595.36, 24,280.56 and 9,636

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Solution

The fourth proportional to 17,595.36, 24,280.56 and 9,636 is: 13,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,595.36 : 24,280.56 = 9,636 : x
  2. Step 2: Convert to fraction form
    17,595.36/24,280.56 = 9,636/x
  3. Step 3: Cross multiply
    17,595.36x = 24,280.56 × 9,636
  4. Step 4: Simplify right side
    17,595.36x = 233,967,476.16
  5. Step 5: Solve for x
    x = 233,967,476.16/17,595.36
  6. Step 6: Final answer
    x = 13,297.11

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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.