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Finding the Fourth Proportional to 17,772.50, 24,526.11 and 9,706.23

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Solution

The fourth proportional to 17,772.50, 24,526.11 and 9,706.23 is: 13,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.50 : 24,526.11 = 9,706.23 : x
  2. Step 2: Convert to fraction form
    17,772.50/24,526.11 = 9,706.23/x
  3. Step 3: Cross multiply
    17,772.50x = 24,526.11 × 9,706.23
  4. Step 4: Simplify right side
    17,772.50x = 238,056,046.47
  5. Step 5: Solve for x
    x = 238,056,046.47/17,772.50
  6. Step 6: Final answer
    x = 13,394.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.