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Finding the Fourth Proportional to 12,802.84, 17,632.62 and 11,033.80

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Solution

The fourth proportional to 12,802.84, 17,632.62 and 11,033.80 is: 15,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.84 : 17,632.62 = 11,033.80 : x
  2. Step 2: Convert to fraction form
    12,802.84/17,632.62 = 11,033.80/x
  3. Step 3: Cross multiply
    12,802.84x = 17,632.62 × 11,033.80
  4. Step 4: Simplify right side
    12,802.84x = 194,554,802.56
  5. Step 5: Solve for x
    x = 194,554,802.56/12,802.84
  6. Step 6: Final answer
    x = 15,196.22

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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.