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Finding the Fourth Proportional to 16,974.51, 23,423.74 and 9,420.85

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Solution

The fourth proportional to 16,974.51, 23,423.74 and 9,420.85 is: 13,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974.51 : 23,423.74 = 9,420.85 : x
  2. Step 2: Convert to fraction form
    16,974.51/23,423.74 = 9,420.85/x
  3. Step 3: Cross multiply
    16,974.51x = 23,423.74 × 9,420.85
  4. Step 4: Simplify right side
    16,974.51x = 220,671,467.58
  5. Step 5: Solve for x
    x = 220,671,467.58/16,974.51
  6. Step 6: Final answer
    x = 13,000.16

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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.