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Finding the Fourth Proportional to 15,940, 21,984.84 and 10,275.67

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Solution

The fourth proportional to 15,940, 21,984.84 and 10,275.67 is: 14,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,940 : 21,984.84 = 10,275.67 : x
  2. Step 2: Convert to fraction form
    15,940/21,984.84 = 10,275.67/x
  3. Step 3: Cross multiply
    15,940x = 21,984.84 × 10,275.67
  4. Step 4: Simplify right side
    15,940x = 225,908,960.84
  5. Step 5: Solve for x
    x = 225,908,960.84/15,940
  6. Step 6: Final answer
    x = 14,172.46

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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.