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Finding the Fourth Proportional to 15,856.94, 23,792.79 and 7,097.78

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Solution

The fourth proportional to 15,856.94, 23,792.79 and 7,097.78 is: 10,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.94 : 23,792.79 = 7,097.78 : x
  2. Step 2: Convert to fraction form
    15,856.94/23,792.79 = 7,097.78/x
  3. Step 3: Cross multiply
    15,856.94x = 23,792.79 × 7,097.78
  4. Step 4: Simplify right side
    15,856.94x = 168,875,989.01
  5. Step 5: Solve for x
    x = 168,875,989.01/15,856.94
  6. Step 6: Final answer
    x = 10,649.97

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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.