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Finding the Fourth Proportional to 25,943.50, 38,908.16 and 9,300.43

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Solution

The fourth proportional to 25,943.50, 38,908.16 and 9,300.43 is: 13,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,943.50 : 38,908.16 = 9,300.43 : x
  2. Step 2: Convert to fraction form
    25,943.50/38,908.16 = 9,300.43/x
  3. Step 3: Cross multiply
    25,943.50x = 38,908.16 × 9,300.43
  4. Step 4: Simplify right side
    25,943.50x = 361,862,618.51
  5. Step 5: Solve for x
    x = 361,862,618.51/25,943.50
  6. Step 6: Final answer
    x = 13,948.10

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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.