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Finding the Fourth Proportional to 17,457.50, 24,090.74 and 9,499.58

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Solution

The fourth proportional to 17,457.50, 24,090.74 and 9,499.58 is: 13,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.50 : 24,090.74 = 9,499.58 : x
  2. Step 2: Convert to fraction form
    17,457.50/24,090.74 = 9,499.58/x
  3. Step 3: Cross multiply
    17,457.50x = 24,090.74 × 9,499.58
  4. Step 4: Simplify right side
    17,457.50x = 228,851,911.89
  5. Step 5: Solve for x
    x = 228,851,911.89/17,457.50
  6. Step 6: Final answer
    x = 13,109.09

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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.