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Finding the Fourth Proportional to 17,456.99, 24,090.63 and 9,499.20

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Solution

The fourth proportional to 17,456.99, 24,090.63 and 9,499.20 is: 13,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.99 : 24,090.63 = 9,499.20 : x
  2. Step 2: Convert to fraction form
    17,456.99/24,090.63 = 9,499.20/x
  3. Step 3: Cross multiply
    17,456.99x = 24,090.63 × 9,499.20
  4. Step 4: Simplify right side
    17,456.99x = 228,841,712.50
  5. Step 5: Solve for x
    x = 228,841,712.50/17,456.99
  6. Step 6: Final answer
    x = 13,108.89

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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.