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Finding the Fourth Proportional to 17,406.77, 24,019.47 and 9,851.90

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Solution

The fourth proportional to 17,406.77, 24,019.47 and 9,851.90 is: 13,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.77 : 24,019.47 = 9,851.90 : x
  2. Step 2: Convert to fraction form
    17,406.77/24,019.47 = 9,851.90/x
  3. Step 3: Cross multiply
    17,406.77x = 24,019.47 × 9,851.90
  4. Step 4: Simplify right side
    17,406.77x = 236,637,296.40
  5. Step 5: Solve for x
    x = 236,637,296.40/17,406.77
  6. Step 6: Final answer
    x = 13,594.56

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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.