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Finding the Fourth Proportional to 17,595.22, 24,280.14 and 9,636.16

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Solution

The fourth proportional to 17,595.22, 24,280.14 and 9,636.16 is: 13,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,595.22 : 24,280.14 = 9,636.16 : x
  2. Step 2: Convert to fraction form
    17,595.22/24,280.14 = 9,636.16/x
  3. Step 3: Cross multiply
    17,595.22x = 24,280.14 × 9,636.16
  4. Step 4: Simplify right side
    17,595.22x = 233,967,313.86
  5. Step 5: Solve for x
    x = 233,967,313.86/17,595.22
  6. Step 6: Final answer
    x = 13,297.21

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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.