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Finding the Fourth Proportional to 25,965.78, 35,832.78 and 14,029.10

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Solution

The fourth proportional to 25,965.78, 35,832.78 and 14,029.10 is: 19,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,965.78 : 35,832.78 = 14,029.10 : x
  2. Step 2: Convert to fraction form
    25,965.78/35,832.78 = 14,029.10/x
  3. Step 3: Cross multiply
    25,965.78x = 35,832.78 × 14,029.10
  4. Step 4: Simplify right side
    25,965.78x = 502,701,653.90
  5. Step 5: Solve for x
    x = 502,701,653.90/25,965.78
  6. Step 6: Final answer
    x = 19,360.16

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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.