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Finding the Fourth Proportional to 15,222.53, 22,842 and 6,901.91

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Solution

The fourth proportional to 15,222.53, 22,842 and 6,901.91 is: 10,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222.53 : 22,842 = 6,901.91 : x
  2. Step 2: Convert to fraction form
    15,222.53/22,842 = 6,901.91/x
  3. Step 3: Cross multiply
    15,222.53x = 22,842 × 6,901.91
  4. Step 4: Simplify right side
    15,222.53x = 157,653,399.67
  5. Step 5: Solve for x
    x = 157,653,399.67/15,222.53
  6. Step 6: Final answer
    x = 10,356.58

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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.