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Finding the Fourth Proportional to 25,412.80, 35,069.24 and 13,927.60

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Solution

The fourth proportional to 25,412.80, 35,069.24 and 13,927.60 is: 19,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412.80 : 35,069.24 = 13,927.60 : x
  2. Step 2: Convert to fraction form
    25,412.80/35,069.24 = 13,927.60/x
  3. Step 3: Cross multiply
    25,412.80x = 35,069.24 × 13,927.60
  4. Step 4: Simplify right side
    25,412.80x = 488,430,347.02
  5. Step 5: Solve for x
    x = 488,430,347.02/25,412.80
  6. Step 6: Final answer
    x = 19,219.86

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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.