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Finding the Fourth Proportional to 24,165, 33,347.76 and 14,100.36

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Solution

The fourth proportional to 24,165, 33,347.76 and 14,100.36 is: 19,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165 : 33,347.76 = 14,100.36 : x
  2. Step 2: Convert to fraction form
    24,165/33,347.76 = 14,100.36/x
  3. Step 3: Cross multiply
    24,165x = 33,347.76 × 14,100.36
  4. Step 4: Simplify right side
    24,165x = 470,215,421.19
  5. Step 5: Solve for x
    x = 470,215,421.19/24,165
  6. Step 6: Final answer
    x = 19,458.53

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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.