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Finding the Fourth Proportional to 14,178.09, 19,565.94 and 7,805.34

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Solution

The fourth proportional to 14,178.09, 19,565.94 and 7,805.34 is: 10,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.09 : 19,565.94 = 7,805.34 : x
  2. Step 2: Convert to fraction form
    14,178.09/19,565.94 = 7,805.34/x
  3. Step 3: Cross multiply
    14,178.09x = 19,565.94 × 7,805.34
  4. Step 4: Simplify right side
    14,178.09x = 152,718,814.12
  5. Step 5: Solve for x
    x = 152,718,814.12/14,178.09
  6. Step 6: Final answer
    x = 10,771.47

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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.