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Finding the Fourth Proportional to 15,405.20, 23,107.80 and 12,813.20

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Solution

The fourth proportional to 15,405.20, 23,107.80 and 12,813.20 is: 19,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405.20 : 23,107.80 = 12,813.20 : x
  2. Step 2: Convert to fraction form
    15,405.20/23,107.80 = 12,813.20/x
  3. Step 3: Cross multiply
    15,405.20x = 23,107.80 × 12,813.20
  4. Step 4: Simplify right side
    15,405.20x = 296,084,862.96
  5. Step 5: Solve for x
    x = 296,084,862.96/15,405.20
  6. Step 6: Final answer
    x = 19,219.80

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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.