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Finding the Fourth Proportional to 17,509.50, 24,154.77 and 11,846.22

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Solution

The fourth proportional to 17,509.50, 24,154.77 and 11,846.22 is: 16,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.50 : 24,154.77 = 11,846.22 : x
  2. Step 2: Convert to fraction form
    17,509.50/24,154.77 = 11,846.22/x
  3. Step 3: Cross multiply
    17,509.50x = 24,154.77 × 11,846.22
  4. Step 4: Simplify right side
    17,509.50x = 286,142,719.47
  5. Step 5: Solve for x
    x = 286,142,719.47/17,509.50
  6. Step 6: Final answer
    x = 16,342.14

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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.