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Finding the Fourth Proportional to 24,242.50, 33,455.06 and 15,859

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Solution

The fourth proportional to 24,242.50, 33,455.06 and 15,859 is: 21,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242.50 : 33,455.06 = 15,859 : x
  2. Step 2: Convert to fraction form
    24,242.50/33,455.06 = 15,859/x
  3. Step 3: Cross multiply
    24,242.50x = 33,455.06 × 15,859
  4. Step 4: Simplify right side
    24,242.50x = 530,563,717.25
  5. Step 5: Solve for x
    x = 530,563,717.25/24,242.50
  6. Step 6: Final answer
    x = 21,885.68

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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.