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Finding the Fourth Proportional to 17,778.48, 24,531.48 and 10,703.76

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Solution

The fourth proportional to 17,778.48, 24,531.48 and 10,703.76 is: 14,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.48 : 24,531.48 = 10,703.76 : x
  2. Step 2: Convert to fraction form
    17,778.48/24,531.48 = 10,703.76/x
  3. Step 3: Cross multiply
    17,778.48x = 24,531.48 × 10,703.76
  4. Step 4: Simplify right side
    17,778.48x = 262,579,074.36
  5. Step 5: Solve for x
    x = 262,579,074.36/17,778.48
  6. Step 6: Final answer
    x = 14,769.49

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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.