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Finding the Fourth Proportional to 17,406.24, 24,014.88 and 9,851.82

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Solution

The fourth proportional to 17,406.24, 24,014.88 and 9,851.82 is: 13,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.24 : 24,014.88 = 9,851.82 : x
  2. Step 2: Convert to fraction form
    17,406.24/24,014.88 = 9,851.82/x
  3. Step 3: Cross multiply
    17,406.24x = 24,014.88 × 9,851.82
  4. Step 4: Simplify right side
    17,406.24x = 236,590,275.08
  5. Step 5: Solve for x
    x = 236,590,275.08/17,406.24
  6. Step 6: Final answer
    x = 13,592.27

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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.