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Finding the Fourth Proportional to 17,457.38, 24,090.99 and 9,499.47

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Solution

The fourth proportional to 17,457.38, 24,090.99 and 9,499.47 is: 13,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.38 : 24,090.99 = 9,499.47 : x
  2. Step 2: Convert to fraction form
    17,457.38/24,090.99 = 9,499.47/x
  3. Step 3: Cross multiply
    17,457.38x = 24,090.99 × 9,499.47
  4. Step 4: Simplify right side
    17,457.38x = 228,851,601.15
  5. Step 5: Solve for x
    x = 228,851,601.15/17,457.38
  6. Step 6: Final answer
    x = 13,109.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.