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Finding the Fourth Proportional to 14,648.62, 21,970.64 and 4,787.82

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Solution

The fourth proportional to 14,648.62, 21,970.64 and 4,787.82 is: 7,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.62 : 21,970.64 = 4,787.82 : x
  2. Step 2: Convert to fraction form
    14,648.62/21,970.64 = 4,787.82/x
  3. Step 3: Cross multiply
    14,648.62x = 21,970.64 × 4,787.82
  4. Step 4: Simplify right side
    14,648.62x = 105,191,469.60
  5. Step 5: Solve for x
    x = 105,191,469.60/14,648.62
  6. Step 6: Final answer
    x = 7,180.98

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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.