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Finding the Fourth Proportional to 14,390.96, 19,858.10 and 10,616.15

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Solution

The fourth proportional to 14,390.96, 19,858.10 and 10,616.15 is: 14,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,390.96 : 19,858.10 = 10,616.15 : x
  2. Step 2: Convert to fraction form
    14,390.96/19,858.10 = 10,616.15/x
  3. Step 3: Cross multiply
    14,390.96x = 19,858.10 × 10,616.15
  4. Step 4: Simplify right side
    14,390.96x = 210,816,564.88
  5. Step 5: Solve for x
    x = 210,816,564.88/14,390.96
  6. Step 6: Final answer
    x = 14,649.24

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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.