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Finding the Fourth Proportional to 25,924.50, 35,775.81 and 14,746.50

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Solution

The fourth proportional to 25,924.50, 35,775.81 and 14,746.50 is: 20,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,924.50 : 35,775.81 = 14,746.50 : x
  2. Step 2: Convert to fraction form
    25,924.50/35,775.81 = 14,746.50/x
  3. Step 3: Cross multiply
    25,924.50x = 35,775.81 × 14,746.50
  4. Step 4: Simplify right side
    25,924.50x = 527,567,982.17
  5. Step 5: Solve for x
    x = 527,567,982.17/25,924.50
  6. Step 6: Final answer
    x = 20,350.17

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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.