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Finding the Fourth Proportional to 15,532.84, 23,264.21 and 7,195.34

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Solution

The fourth proportional to 15,532.84, 23,264.21 and 7,195.34 is: 10,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,532.84 : 23,264.21 = 7,195.34 : x
  2. Step 2: Convert to fraction form
    15,532.84/23,264.21 = 7,195.34/x
  3. Step 3: Cross multiply
    15,532.84x = 23,264.21 × 7,195.34
  4. Step 4: Simplify right side
    15,532.84x = 167,393,900.78
  5. Step 5: Solve for x
    x = 167,393,900.78/15,532.84
  6. Step 6: Final answer
    x = 10,776.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.