Home / 25,358.24-38,041.48-7,824

Finding the Fourth Proportional to 25,358.24, 38,041.48 and 7,824

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Solution

The fourth proportional to 25,358.24, 38,041.48 and 7,824 is: 11,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,358.24 : 38,041.48 = 7,824 : x
  2. Step 2: Convert to fraction form
    25,358.24/38,041.48 = 7,824/x
  3. Step 3: Cross multiply
    25,358.24x = 38,041.48 × 7,824
  4. Step 4: Simplify right side
    25,358.24x = 297,636,539.52
  5. Step 5: Solve for x
    x = 297,636,539.52/25,358.24
  6. Step 6: Final answer
    x = 11,737.27

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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.