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Finding the Fourth Proportional to 17,662, 24,376.80 and 10,210

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Solution

The fourth proportional to 17,662, 24,376.80 and 10,210 is: 14,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662 : 24,376.80 = 10,210 : x
  2. Step 2: Convert to fraction form
    17,662/24,376.80 = 10,210/x
  3. Step 3: Cross multiply
    17,662x = 24,376.80 × 10,210
  4. Step 4: Simplify right side
    17,662x = 248,887,128
  5. Step 5: Solve for x
    x = 248,887,128/17,662
  6. Step 6: Final answer
    x = 14,091.67

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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.