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Finding the Fourth Proportional to 17,709, 24,438.28 and 10,543.83

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Solution

The fourth proportional to 17,709, 24,438.28 and 10,543.83 is: 14,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709 : 24,438.28 = 10,543.83 : x
  2. Step 2: Convert to fraction form
    17,709/24,438.28 = 10,543.83/x
  3. Step 3: Cross multiply
    17,709x = 24,438.28 × 10,543.83
  4. Step 4: Simplify right side
    17,709x = 257,673,069.81
  5. Step 5: Solve for x
    x = 257,673,069.81/17,709
  6. Step 6: Final answer
    x = 14,550.40

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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.