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Finding the Fourth Proportional to 17,709.70, 24,438.83 and 9,643.13

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Solution

The fourth proportional to 17,709.70, 24,438.83 and 9,643.13 is: 13,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.70 : 24,438.83 = 9,643.13 : x
  2. Step 2: Convert to fraction form
    17,709.70/24,438.83 = 9,643.13/x
  3. Step 3: Cross multiply
    17,709.70x = 24,438.83 × 9,643.13
  4. Step 4: Simplify right side
    17,709.70x = 235,666,850.71
  5. Step 5: Solve for x
    x = 235,666,850.71/17,709.70
  6. Step 6: Final answer
    x = 13,307.22

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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.