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Finding the Fourth Proportional to 14,235, 21,355.76 and 5,001

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Solution

The fourth proportional to 14,235, 21,355.76 and 5,001 is: 7,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235 : 21,355.76 = 5,001 : x
  2. Step 2: Convert to fraction form
    14,235/21,355.76 = 5,001/x
  3. Step 3: Cross multiply
    14,235x = 21,355.76 × 5,001
  4. Step 4: Simplify right side
    14,235x = 106,800,155.76
  5. Step 5: Solve for x
    x = 106,800,155.76/14,235
  6. Step 6: Final answer
    x = 7,502.65

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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.