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Finding the Fourth Proportional to 14,285.16, 21,390.62 and 9,856.49

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Solution

The fourth proportional to 14,285.16, 21,390.62 and 9,856.49 is: 14,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.16 : 21,390.62 = 9,856.49 : x
  2. Step 2: Convert to fraction form
    14,285.16/21,390.62 = 9,856.49/x
  3. Step 3: Cross multiply
    14,285.16x = 21,390.62 × 9,856.49
  4. Step 4: Simplify right side
    14,285.16x = 210,836,275.89
  5. Step 5: Solve for x
    x = 210,836,275.89/14,285.16
  6. Step 6: Final answer
    x = 14,759.11

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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.