Home / 25,356.24-38,038.48-7,822

Finding the Fourth Proportional to 25,356.24, 38,038.48 and 7,822

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Solution

The fourth proportional to 25,356.24, 38,038.48 and 7,822 is: 11,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,356.24 : 38,038.48 = 7,822 : x
  2. Step 2: Convert to fraction form
    25,356.24/38,038.48 = 7,822/x
  3. Step 3: Cross multiply
    25,356.24x = 38,038.48 × 7,822
  4. Step 4: Simplify right side
    25,356.24x = 297,536,990.56
  5. Step 5: Solve for x
    x = 297,536,990.56/25,356.24
  6. Step 6: Final answer
    x = 11,734.27

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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.