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Finding the Fourth Proportional to 17,595.86, 24,281.25 and 9,636.50

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Solution

The fourth proportional to 17,595.86, 24,281.25 and 9,636.50 is: 13,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,595.86 : 24,281.25 = 9,636.50 : x
  2. Step 2: Convert to fraction form
    17,595.86/24,281.25 = 9,636.50/x
  3. Step 3: Cross multiply
    17,595.86x = 24,281.25 × 9,636.50
  4. Step 4: Simplify right side
    17,595.86x = 233,986,265.63
  5. Step 5: Solve for x
    x = 233,986,265.63/17,595.86
  6. Step 6: Final answer
    x = 13,297.80

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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.