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Finding the Fourth Proportional to 15,802.24, 21,808.24 and 9,089.97

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Solution

The fourth proportional to 15,802.24, 21,808.24 and 9,089.97 is: 12,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.24 : 21,808.24 = 9,089.97 : x
  2. Step 2: Convert to fraction form
    15,802.24/21,808.24 = 9,089.97/x
  3. Step 3: Cross multiply
    15,802.24x = 21,808.24 × 9,089.97
  4. Step 4: Simplify right side
    15,802.24x = 198,236,247.35
  5. Step 5: Solve for x
    x = 198,236,247.35/15,802.24
  6. Step 6: Final answer
    x = 12,544.82

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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.