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Finding the Fourth Proportional to 24,090.34, 36,132.77 and 9,297.98

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Solution

The fourth proportional to 24,090.34, 36,132.77 and 9,297.98 is: 13,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,090.34 : 36,132.77 = 9,297.98 : x
  2. Step 2: Convert to fraction form
    24,090.34/36,132.77 = 9,297.98/x
  3. Step 3: Cross multiply
    24,090.34x = 36,132.77 × 9,297.98
  4. Step 4: Simplify right side
    24,090.34x = 335,961,726.31
  5. Step 5: Solve for x
    x = 335,961,726.31/24,090.34
  6. Step 6: Final answer
    x = 13,945.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.