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Finding the Fourth Proportional to 13,901.79, 20,856 and 4,541.84

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Solution

The fourth proportional to 13,901.79, 20,856 and 4,541.84 is: 6,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.79 : 20,856 = 4,541.84 : x
  2. Step 2: Convert to fraction form
    13,901.79/20,856 = 4,541.84/x
  3. Step 3: Cross multiply
    13,901.79x = 20,856 × 4,541.84
  4. Step 4: Simplify right side
    13,901.79x = 94,724,510.76
  5. Step 5: Solve for x
    x = 94,724,510.76/13,901.79
  6. Step 6: Final answer
    x = 6,813.84

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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.