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Finding the Fourth Proportional to 14,230.86, 19,639.66 and 7,858.66

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Solution

The fourth proportional to 14,230.86, 19,639.66 and 7,858.66 is: 10,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.86 : 19,639.66 = 7,858.66 : x
  2. Step 2: Convert to fraction form
    14,230.86/19,639.66 = 7,858.66/x
  3. Step 3: Cross multiply
    14,230.86x = 19,639.66 × 7,858.66
  4. Step 4: Simplify right side
    14,230.86x = 154,341,390.81
  5. Step 5: Solve for x
    x = 154,341,390.81/14,230.86
  6. Step 6: Final answer
    x = 10,845.55

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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.