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Finding the Fourth Proportional to 14,577.69, 21,861.17 and 5,215.17

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Solution

The fourth proportional to 14,577.69, 21,861.17 and 5,215.17 is: 7,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.69 : 21,861.17 = 5,215.17 : x
  2. Step 2: Convert to fraction form
    14,577.69/21,861.17 = 5,215.17/x
  3. Step 3: Cross multiply
    14,577.69x = 21,861.17 × 5,215.17
  4. Step 4: Simplify right side
    14,577.69x = 114,009,717.95
  5. Step 5: Solve for x
    x = 114,009,717.95/14,577.69
  6. Step 6: Final answer
    x = 7,820.84

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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.