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Finding the Fourth Proportional to 24,281, 33,507.68 and 13,526

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Solution

The fourth proportional to 24,281, 33,507.68 and 13,526 is: 18,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,281 : 33,507.68 = 13,526 : x
  2. Step 2: Convert to fraction form
    24,281/33,507.68 = 13,526/x
  3. Step 3: Cross multiply
    24,281x = 33,507.68 × 13,526
  4. Step 4: Simplify right side
    24,281x = 453,224,879.68
  5. Step 5: Solve for x
    x = 453,224,879.68/24,281
  6. Step 6: Final answer
    x = 18,665.82

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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.