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Finding the Fourth Proportional to 13,283.17, 19,927.48 and 4,961.17

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Solution

The fourth proportional to 13,283.17, 19,927.48 and 4,961.17 is: 7,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.17 : 19,927.48 = 4,961.17 : x
  2. Step 2: Convert to fraction form
    13,283.17/19,927.48 = 4,961.17/x
  3. Step 3: Cross multiply
    13,283.17x = 19,927.48 × 4,961.17
  4. Step 4: Simplify right side
    13,283.17x = 98,863,615.95
  5. Step 5: Solve for x
    x = 98,863,615.95/13,283.17
  6. Step 6: Final answer
    x = 7,442.77

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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.