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Finding the Fourth Proportional to 14,609.84, 20,161.59 and 7,895.47

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Solution

The fourth proportional to 14,609.84, 20,161.59 and 7,895.47 is: 10,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.84 : 20,161.59 = 7,895.47 : x
  2. Step 2: Convert to fraction form
    14,609.84/20,161.59 = 7,895.47/x
  3. Step 3: Cross multiply
    14,609.84x = 20,161.59 × 7,895.47
  4. Step 4: Simplify right side
    14,609.84x = 159,185,229.00
  5. Step 5: Solve for x
    x = 159,185,229.00/14,609.84
  6. Step 6: Final answer
    x = 10,895.75

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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.