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Finding the Fourth Proportional to 24,785, 34,203.54 and 13,607.24

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Solution

The fourth proportional to 24,785, 34,203.54 and 13,607.24 is: 18,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,785 : 34,203.54 = 13,607.24 : x
  2. Step 2: Convert to fraction form
    24,785/34,203.54 = 13,607.24/x
  3. Step 3: Cross multiply
    24,785x = 34,203.54 × 13,607.24
  4. Step 4: Simplify right side
    24,785x = 465,415,777.63
  5. Step 5: Solve for x
    x = 465,415,777.63/24,785
  6. Step 6: Final answer
    x = 18,778.12

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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.