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Finding the Fourth Proportional to 17,662.25, 24,373.83 and 9,595.86

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Solution

The fourth proportional to 17,662.25, 24,373.83 and 9,595.86 is: 13,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.25 : 24,373.83 = 9,595.86 : x
  2. Step 2: Convert to fraction form
    17,662.25/24,373.83 = 9,595.86/x
  3. Step 3: Cross multiply
    17,662.25x = 24,373.83 × 9,595.86
  4. Step 4: Simplify right side
    17,662.25x = 233,887,860.34
  5. Step 5: Solve for x
    x = 233,887,860.34/17,662.25
  6. Step 6: Final answer
    x = 13,242.25

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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.