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Finding the Fourth Proportional to 15,234.48, 22,848.03 and 5,238.06

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Solution

The fourth proportional to 15,234.48, 22,848.03 and 5,238.06 is: 7,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.48 : 22,848.03 = 5,238.06 : x
  2. Step 2: Convert to fraction form
    15,234.48/22,848.03 = 5,238.06/x
  3. Step 3: Cross multiply
    15,234.48x = 22,848.03 × 5,238.06
  4. Step 4: Simplify right side
    15,234.48x = 119,679,352.02
  5. Step 5: Solve for x
    x = 119,679,352.02/15,234.48
  6. Step 6: Final answer
    x = 7,855.82

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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.