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Finding the Fourth Proportional to 21,245, 31,876.62 and 11,381.48

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Solution

The fourth proportional to 21,245, 31,876.62 and 11,381.48 is: 17,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,245 : 31,876.62 = 11,381.48 : x
  2. Step 2: Convert to fraction form
    21,245/31,876.62 = 11,381.48/x
  3. Step 3: Cross multiply
    21,245x = 31,876.62 × 11,381.48
  4. Step 4: Simplify right side
    21,245x = 362,803,113.00
  5. Step 5: Solve for x
    x = 362,803,113.00/21,245
  6. Step 6: Final answer
    x = 17,077.11

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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.