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Finding the Fourth Proportional to 14,511.59, 21,764.29 and 4,648.22

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Solution

The fourth proportional to 14,511.59, 21,764.29 and 4,648.22 is: 6,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.59 : 21,764.29 = 4,648.22 : x
  2. Step 2: Convert to fraction form
    14,511.59/21,764.29 = 4,648.22/x
  3. Step 3: Cross multiply
    14,511.59x = 21,764.29 × 4,648.22
  4. Step 4: Simplify right side
    14,511.59x = 101,165,208.06
  5. Step 5: Solve for x
    x = 101,165,208.06/14,511.59
  6. Step 6: Final answer
    x = 6,971.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.