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Finding the Fourth Proportional to 14,976, 22,463.06 and 5,848.11

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Solution

The fourth proportional to 14,976, 22,463.06 and 5,848.11 is: 8,771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 22,463.06 = 5,848.11 : x
  2. Step 2: Convert to fraction form
    14,976/22,463.06 = 5,848.11/x
  3. Step 3: Cross multiply
    14,976x = 22,463.06 × 5,848.11
  4. Step 4: Simplify right side
    14,976x = 131,366,416.58
  5. Step 5: Solve for x
    x = 131,366,416.58/14,976
  6. Step 6: Final answer
    x = 8,771.80

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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.