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Finding the Fourth Proportional to 15,774.92, 23,673.72 and 9,203.12

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Solution

The fourth proportional to 15,774.92, 23,673.72 and 9,203.12 is: 13,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.92 : 23,673.72 = 9,203.12 : x
  2. Step 2: Convert to fraction form
    15,774.92/23,673.72 = 9,203.12/x
  3. Step 3: Cross multiply
    15,774.92x = 23,673.72 × 9,203.12
  4. Step 4: Simplify right side
    15,774.92x = 217,872,086.01
  5. Step 5: Solve for x
    x = 217,872,086.01/15,774.92
  6. Step 6: Final answer
    x = 13,811.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.