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Finding the Fourth Proportional to 14,230.19, 19,636.25 and 7,856.37

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Solution

The fourth proportional to 14,230.19, 19,636.25 and 7,856.37 is: 10,841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.19 : 19,636.25 = 7,856.37 : x
  2. Step 2: Convert to fraction form
    14,230.19/19,636.25 = 7,856.37/x
  3. Step 3: Cross multiply
    14,230.19x = 19,636.25 × 7,856.37
  4. Step 4: Simplify right side
    14,230.19x = 154,269,645.41
  5. Step 5: Solve for x
    x = 154,269,645.41/14,230.19
  6. Step 6: Final answer
    x = 10,841.01

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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.