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Finding the Fourth Proportional to 14,005.32, 21,007.17 and 6,211.50

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Solution

The fourth proportional to 14,005.32, 21,007.17 and 6,211.50 is: 9,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.32 : 21,007.17 = 6,211.50 : x
  2. Step 2: Convert to fraction form
    14,005.32/21,007.17 = 6,211.50/x
  3. Step 3: Cross multiply
    14,005.32x = 21,007.17 × 6,211.50
  4. Step 4: Simplify right side
    14,005.32x = 130,486,036.46
  5. Step 5: Solve for x
    x = 130,486,036.46/14,005.32
  6. Step 6: Final answer
    x = 9,316.89

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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.