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Finding the Fourth Proportional to 25,822.16, 38,739.64 and 7,354

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Solution

The fourth proportional to 25,822.16, 38,739.64 and 7,354 is: 11,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.16 : 38,739.64 = 7,354 : x
  2. Step 2: Convert to fraction form
    25,822.16/38,739.64 = 7,354/x
  3. Step 3: Cross multiply
    25,822.16x = 38,739.64 × 7,354
  4. Step 4: Simplify right side
    25,822.16x = 284,891,312.56
  5. Step 5: Solve for x
    x = 284,891,312.56/25,822.16
  6. Step 6: Final answer
    x = 11,032.82

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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.