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Finding the Fourth Proportional to 25,959.81, 35,824.51 and 14,023.14

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Solution

The fourth proportional to 25,959.81, 35,824.51 and 14,023.14 is: 19,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,959.81 : 35,824.51 = 14,023.14 : x
  2. Step 2: Convert to fraction form
    25,959.81/35,824.51 = 14,023.14/x
  3. Step 3: Cross multiply
    25,959.81x = 35,824.51 × 14,023.14
  4. Step 4: Simplify right side
    25,959.81x = 502,372,119.16
  5. Step 5: Solve for x
    x = 502,372,119.16/25,959.81
  6. Step 6: Final answer
    x = 19,351.92

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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.