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Finding the Fourth Proportional to 14,177.86, 19,565.13 and 7,890.82

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Solution

The fourth proportional to 14,177.86, 19,565.13 and 7,890.82 is: 10,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.86 : 19,565.13 = 7,890.82 : x
  2. Step 2: Convert to fraction form
    14,177.86/19,565.13 = 7,890.82/x
  3. Step 3: Cross multiply
    14,177.86x = 19,565.13 × 7,890.82
  4. Step 4: Simplify right side
    14,177.86x = 154,384,919.11
  5. Step 5: Solve for x
    x = 154,384,919.11/14,177.86
  6. Step 6: Final answer
    x = 10,889.16

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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.