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Finding the Fourth Proportional to 14,823.54, 22,239.69 and 7,021.62

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Solution

The fourth proportional to 14,823.54, 22,239.69 and 7,021.62 is: 10,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.54 : 22,239.69 = 7,021.62 : x
  2. Step 2: Convert to fraction form
    14,823.54/22,239.69 = 7,021.62/x
  3. Step 3: Cross multiply
    14,823.54x = 22,239.69 × 7,021.62
  4. Step 4: Simplify right side
    14,823.54x = 156,158,652.10
  5. Step 5: Solve for x
    x = 156,158,652.10/14,823.54
  6. Step 6: Final answer
    x = 10,534.50

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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.