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Finding the Fourth Proportional to 21,282, 29,376.48 and 12,898.50

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Solution

The fourth proportional to 21,282, 29,376.48 and 12,898.50 is: 17,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,282 : 29,376.48 = 12,898.50 : x
  2. Step 2: Convert to fraction form
    21,282/29,376.48 = 12,898.50/x
  3. Step 3: Cross multiply
    21,282x = 29,376.48 × 12,898.50
  4. Step 4: Simplify right side
    21,282x = 378,912,527.28
  5. Step 5: Solve for x
    x = 378,912,527.28/21,282
  6. Step 6: Final answer
    x = 17,804.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.