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Finding the Fourth Proportional to 14,569.01, 21,858.10 and 5,208.81

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Solution

The fourth proportional to 14,569.01, 21,858.10 and 5,208.81 is: 7,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.01 : 21,858.10 = 5,208.81 : x
  2. Step 2: Convert to fraction form
    14,569.01/21,858.10 = 5,208.81/x
  3. Step 3: Cross multiply
    14,569.01x = 21,858.10 × 5,208.81
  4. Step 4: Simplify right side
    14,569.01x = 113,854,624.17
  5. Step 5: Solve for x
    x = 113,854,624.17/14,569.01
  6. Step 6: Final answer
    x = 7,814.85

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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.