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Finding the Fourth Proportional to 14,577.67, 21,864.16 and 5,215.95

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Solution

The fourth proportional to 14,577.67, 21,864.16 and 5,215.95 is: 7,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.67 : 21,864.16 = 5,215.95 : x
  2. Step 2: Convert to fraction form
    14,577.67/21,864.16 = 5,215.95/x
  3. Step 3: Cross multiply
    14,577.67x = 21,864.16 × 5,215.95
  4. Step 4: Simplify right side
    14,577.67x = 114,042,365.35
  5. Step 5: Solve for x
    x = 114,042,365.35/14,577.67
  6. Step 6: Final answer
    x = 7,823.09

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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.