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Finding the Fourth Proportional to 14,332.32, 21,494.33 and 4,971.96

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Solution

The fourth proportional to 14,332.32, 21,494.33 and 4,971.96 is: 7,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.32 : 21,494.33 = 4,971.96 : x
  2. Step 2: Convert to fraction form
    14,332.32/21,494.33 = 4,971.96/x
  3. Step 3: Cross multiply
    14,332.32x = 21,494.33 × 4,971.96
  4. Step 4: Simplify right side
    14,332.32x = 106,869,015.15
  5. Step 5: Solve for x
    x = 106,869,015.15/14,332.32
  6. Step 6: Final answer
    x = 7,456.50

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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.