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Finding the Fourth Proportional to 14,648.54, 21,974.63 and 4,785.17

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Solution

The fourth proportional to 14,648.54, 21,974.63 and 4,785.17 is: 7,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.54 : 21,974.63 = 4,785.17 : x
  2. Step 2: Convert to fraction form
    14,648.54/21,974.63 = 4,785.17/x
  3. Step 3: Cross multiply
    14,648.54x = 21,974.63 × 4,785.17
  4. Step 4: Simplify right side
    14,648.54x = 105,152,206.44
  5. Step 5: Solve for x
    x = 105,152,206.44/14,648.54
  6. Step 6: Final answer
    x = 7,178.34

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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.