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Finding the Fourth Proportional to 14,564.70, 21,856.65 and 5,330.70

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Solution

The fourth proportional to 14,564.70, 21,856.65 and 5,330.70 is: 7,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.70 : 21,856.65 = 5,330.70 : x
  2. Step 2: Convert to fraction form
    14,564.70/21,856.65 = 5,330.70/x
  3. Step 3: Cross multiply
    14,564.70x = 21,856.65 × 5,330.70
  4. Step 4: Simplify right side
    14,564.70x = 116,511,244.16
  5. Step 5: Solve for x
    x = 116,511,244.16/14,564.70
  6. Step 6: Final answer
    x = 7,999.56

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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.