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Finding the Fourth Proportional to 24,342.88, 33,593.76 and 14,277.76

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Solution

The fourth proportional to 24,342.88, 33,593.76 and 14,277.76 is: 19,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.88 : 33,593.76 = 14,277.76 : x
  2. Step 2: Convert to fraction form
    24,342.88/33,593.76 = 14,277.76/x
  3. Step 3: Cross multiply
    24,342.88x = 33,593.76 × 14,277.76
  4. Step 4: Simplify right side
    24,342.88x = 479,643,642.78
  5. Step 5: Solve for x
    x = 479,643,642.78/24,342.88
  6. Step 6: Final answer
    x = 19,703.65

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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.