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Finding the Fourth Proportional to 25,854.94, 38,786.06 and 9,210.06

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Solution

The fourth proportional to 25,854.94, 38,786.06 and 9,210.06 is: 13,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.94 : 38,786.06 = 9,210.06 : x
  2. Step 2: Convert to fraction form
    25,854.94/38,786.06 = 9,210.06/x
  3. Step 3: Cross multiply
    25,854.94x = 38,786.06 × 9,210.06
  4. Step 4: Simplify right side
    25,854.94x = 357,221,939.76
  5. Step 5: Solve for x
    x = 357,221,939.76/25,854.94
  6. Step 6: Final answer
    x = 13,816.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.