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Finding the Fourth Proportional to 25,878.96, 35,712.96 and 14,700.96

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Solution

The fourth proportional to 25,878.96, 35,712.96 and 14,700.96 is: 20,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.96 : 35,712.96 = 14,700.96 : x
  2. Step 2: Convert to fraction form
    25,878.96/35,712.96 = 14,700.96/x
  3. Step 3: Cross multiply
    25,878.96x = 35,712.96 × 14,700.96
  4. Step 4: Simplify right side
    25,878.96x = 525,014,796.44
  5. Step 5: Solve for x
    x = 525,014,796.44/25,878.96
  6. Step 6: Final answer
    x = 20,287.32

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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.