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Finding the Fourth Proportional to 14,574.30, 21,856.80 and 4,711.54

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Solution

The fourth proportional to 14,574.30, 21,856.80 and 4,711.54 is: 7,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.30 : 21,856.80 = 4,711.54 : x
  2. Step 2: Convert to fraction form
    14,574.30/21,856.80 = 4,711.54/x
  3. Step 3: Cross multiply
    14,574.30x = 21,856.80 × 4,711.54
  4. Step 4: Simplify right side
    14,574.30x = 102,979,187.47
  5. Step 5: Solve for x
    x = 102,979,187.47/14,574.30
  6. Step 6: Final answer
    x = 7,065.81

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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.