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Finding the Fourth Proportional to 25,978.20, 35,841.32 and 14,646.32

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Solution

The fourth proportional to 25,978.20, 35,841.32 and 14,646.32 is: 20,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.20 : 35,841.32 = 14,646.32 : x
  2. Step 2: Convert to fraction form
    25,978.20/35,841.32 = 14,646.32/x
  3. Step 3: Cross multiply
    25,978.20x = 35,841.32 × 14,646.32
  4. Step 4: Simplify right side
    25,978.20x = 524,943,441.94
  5. Step 5: Solve for x
    x = 524,943,441.94/25,978.20
  6. Step 6: Final answer
    x = 20,207.08

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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.