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Finding the Fourth Proportional to 15,724.14, 21,701.07 and 9,010.50

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Solution

The fourth proportional to 15,724.14, 21,701.07 and 9,010.50 is: 12,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.14 : 21,701.07 = 9,010.50 : x
  2. Step 2: Convert to fraction form
    15,724.14/21,701.07 = 9,010.50/x
  3. Step 3: Cross multiply
    15,724.14x = 21,701.07 × 9,010.50
  4. Step 4: Simplify right side
    15,724.14x = 195,537,491.24
  5. Step 5: Solve for x
    x = 195,537,491.24/15,724.14
  6. Step 6: Final answer
    x = 12,435.50

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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.