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Finding the Fourth Proportional to 17,420.02, 24,039.54 and 9,462.16

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Solution

The fourth proportional to 17,420.02, 24,039.54 and 9,462.16 is: 13,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,420.02 : 24,039.54 = 9,462.16 : x
  2. Step 2: Convert to fraction form
    17,420.02/24,039.54 = 9,462.16/x
  3. Step 3: Cross multiply
    17,420.02x = 24,039.54 × 9,462.16
  4. Step 4: Simplify right side
    17,420.02x = 227,465,973.81
  5. Step 5: Solve for x
    x = 227,465,973.81/17,420.02
  6. Step 6: Final answer
    x = 13,057.73

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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.