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Finding the Fourth Proportional to 24,141, 33,316.50 and 14,206.92

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Solution

The fourth proportional to 24,141, 33,316.50 and 14,206.92 is: 19,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,141 : 33,316.50 = 14,206.92 : x
  2. Step 2: Convert to fraction form
    24,141/33,316.50 = 14,206.92/x
  3. Step 3: Cross multiply
    24,141x = 33,316.50 × 14,206.92
  4. Step 4: Simplify right side
    24,141x = 473,324,850.18
  5. Step 5: Solve for x
    x = 473,324,850.18/24,141
  6. Step 6: Final answer
    x = 19,606.68

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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.