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Finding the Fourth Proportional to 15,733.82, 21,712.74 and 9,019.84

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Solution

The fourth proportional to 15,733.82, 21,712.74 and 9,019.84 is: 12,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.82 : 21,712.74 = 9,019.84 : x
  2. Step 2: Convert to fraction form
    15,733.82/21,712.74 = 9,019.84/x
  3. Step 3: Cross multiply
    15,733.82x = 21,712.74 × 9,019.84
  4. Step 4: Simplify right side
    15,733.82x = 195,845,332.20
  5. Step 5: Solve for x
    x = 195,845,332.20/15,733.82
  6. Step 6: Final answer
    x = 12,447.41

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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.