Home / 25,983.84-38,987.28-9,564

Finding the Fourth Proportional to 25,983.84, 38,987.28 and 9,564

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Solution

The fourth proportional to 25,983.84, 38,987.28 and 9,564 is: 14,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,983.84 : 38,987.28 = 9,564 : x
  2. Step 2: Convert to fraction form
    25,983.84/38,987.28 = 9,564/x
  3. Step 3: Cross multiply
    25,983.84x = 38,987.28 × 9,564
  4. Step 4: Simplify right side
    25,983.84x = 372,874,345.92
  5. Step 5: Solve for x
    x = 372,874,345.92/25,983.84
  6. Step 6: Final answer
    x = 14,350.24

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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.