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Finding the Fourth Proportional to 17,409.34, 24,017.08 and 11,742.24

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Solution

The fourth proportional to 17,409.34, 24,017.08 and 11,742.24 is: 16,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.34 : 24,017.08 = 11,742.24 : x
  2. Step 2: Convert to fraction form
    17,409.34/24,017.08 = 11,742.24/x
  3. Step 3: Cross multiply
    17,409.34x = 24,017.08 × 11,742.24
  4. Step 4: Simplify right side
    17,409.34x = 282,014,317.46
  5. Step 5: Solve for x
    x = 282,014,317.46/17,409.34
  6. Step 6: Final answer
    x = 16,199.02

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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.