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Finding the Fourth Proportional to 15,773.40, 23,643.90 and 9,196.20

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Solution

The fourth proportional to 15,773.40, 23,643.90 and 9,196.20 is: 13,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.40 : 23,643.90 = 9,196.20 : x
  2. Step 2: Convert to fraction form
    15,773.40/23,643.90 = 9,196.20/x
  3. Step 3: Cross multiply
    15,773.40x = 23,643.90 × 9,196.20
  4. Step 4: Simplify right side
    15,773.40x = 217,434,033.18
  5. Step 5: Solve for x
    x = 217,434,033.18/15,773.40
  6. Step 6: Final answer
    x = 13,784.86

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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.