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Finding the Fourth Proportional to 16,747.61, 23,111.99 and 9,194.64

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Solution

The fourth proportional to 16,747.61, 23,111.99 and 9,194.64 is: 12,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,747.61 : 23,111.99 = 9,194.64 : x
  2. Step 2: Convert to fraction form
    16,747.61/23,111.99 = 9,194.64/x
  3. Step 3: Cross multiply
    16,747.61x = 23,111.99 × 9,194.64
  4. Step 4: Simplify right side
    16,747.61x = 212,506,381.76
  5. Step 5: Solve for x
    x = 212,506,381.76/16,747.61
  6. Step 6: Final answer
    x = 12,688.76

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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.