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Finding the Fourth Proportional to 15,643.80, 23,465.70 and 13,456.80

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Solution

The fourth proportional to 15,643.80, 23,465.70 and 13,456.80 is: 20,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.80 : 23,465.70 = 13,456.80 : x
  2. Step 2: Convert to fraction form
    15,643.80/23,465.70 = 13,456.80/x
  3. Step 3: Cross multiply
    15,643.80x = 23,465.70 × 13,456.80
  4. Step 4: Simplify right side
    15,643.80x = 315,773,231.76
  5. Step 5: Solve for x
    x = 315,773,231.76/15,643.80
  6. Step 6: Final answer
    x = 20,185.20

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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.