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Finding the Fourth Proportional to 25,509.91, 35,201.65 and 14,178.51

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Solution

The fourth proportional to 25,509.91, 35,201.65 and 14,178.51 is: 19,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.91 : 35,201.65 = 14,178.51 : x
  2. Step 2: Convert to fraction form
    25,509.91/35,201.65 = 14,178.51/x
  3. Step 3: Cross multiply
    25,509.91x = 35,201.65 × 14,178.51
  4. Step 4: Simplify right side
    25,509.91x = 499,107,043.10
  5. Step 5: Solve for x
    x = 499,107,043.10/25,509.91
  6. Step 6: Final answer
    x = 19,565.22

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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.