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Finding the Fourth Proportional to 25,896.66, 35,736 and 15,282.42

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Solution

The fourth proportional to 25,896.66, 35,736 and 15,282.42 is: 21,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.66 : 35,736 = 15,282.42 : x
  2. Step 2: Convert to fraction form
    25,896.66/35,736 = 15,282.42/x
  3. Step 3: Cross multiply
    25,896.66x = 35,736 × 15,282.42
  4. Step 4: Simplify right side
    25,896.66x = 546,132,561.12
  5. Step 5: Solve for x
    x = 546,132,561.12/25,896.66
  6. Step 6: Final answer
    x = 21,088.92

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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.