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Finding the Fourth Proportional to 25,362, 38,044.08 and 6,894

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Solution

The fourth proportional to 25,362, 38,044.08 and 6,894 is: 10,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,362 : 38,044.08 = 6,894 : x
  2. Step 2: Convert to fraction form
    25,362/38,044.08 = 6,894/x
  3. Step 3: Cross multiply
    25,362x = 38,044.08 × 6,894
  4. Step 4: Simplify right side
    25,362x = 262,275,887.52
  5. Step 5: Solve for x
    x = 262,275,887.52/25,362
  6. Step 6: Final answer
    x = 10,341.29

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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.