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Finding the Fourth Proportional to 17,298.76, 23,870.67 and 10,223.80

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Solution

The fourth proportional to 17,298.76, 23,870.67 and 10,223.80 is: 14,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298.76 : 23,870.67 = 10,223.80 : x
  2. Step 2: Convert to fraction form
    17,298.76/23,870.67 = 10,223.80/x
  3. Step 3: Cross multiply
    17,298.76x = 23,870.67 × 10,223.80
  4. Step 4: Simplify right side
    17,298.76x = 244,048,955.95
  5. Step 5: Solve for x
    x = 244,048,955.95/17,298.76
  6. Step 6: Final answer
    x = 14,107.89

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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.