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Finding the Fourth Proportional to 14,484.77, 21,716.91 and 7,461.77

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Solution

The fourth proportional to 14,484.77, 21,716.91 and 7,461.77 is: 11,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484.77 : 21,716.91 = 7,461.77 : x
  2. Step 2: Convert to fraction form
    14,484.77/21,716.91 = 7,461.77/x
  3. Step 3: Cross multiply
    14,484.77x = 21,716.91 × 7,461.77
  4. Step 4: Simplify right side
    14,484.77x = 162,046,601.10
  5. Step 5: Solve for x
    x = 162,046,601.10/14,484.77
  6. Step 6: Final answer
    x = 11,187.37

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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.