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Finding the Fourth Proportional to 17,113.65, 23,616.54 and 9,559.50

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Solution

The fourth proportional to 17,113.65, 23,616.54 and 9,559.50 is: 13,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,113.65 : 23,616.54 = 9,559.50 : x
  2. Step 2: Convert to fraction form
    17,113.65/23,616.54 = 9,559.50/x
  3. Step 3: Cross multiply
    17,113.65x = 23,616.54 × 9,559.50
  4. Step 4: Simplify right side
    17,113.65x = 225,762,314.13
  5. Step 5: Solve for x
    x = 225,762,314.13/17,113.65
  6. Step 6: Final answer
    x = 13,191.94

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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.