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Finding the Fourth Proportional to 14,228.72, 19,636.94 and 7,856.46

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Solution

The fourth proportional to 14,228.72, 19,636.94 and 7,856.46 is: 10,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.72 : 19,636.94 = 7,856.46 : x
  2. Step 2: Convert to fraction form
    14,228.72/19,636.94 = 7,856.46/x
  3. Step 3: Cross multiply
    14,228.72x = 19,636.94 × 7,856.46
  4. Step 4: Simplify right side
    14,228.72x = 154,276,833.63
  5. Step 5: Solve for x
    x = 154,276,833.63/14,228.72
  6. Step 6: Final answer
    x = 10,842.64

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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.