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Finding the Fourth Proportional to 14,609, 20,160.74 and 7,985

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Solution

The fourth proportional to 14,609, 20,160.74 and 7,985 is: 11,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609 : 20,160.74 = 7,985 : x
  2. Step 2: Convert to fraction form
    14,609/20,160.74 = 7,985/x
  3. Step 3: Cross multiply
    14,609x = 20,160.74 × 7,985
  4. Step 4: Simplify right side
    14,609x = 160,983,508.90
  5. Step 5: Solve for x
    x = 160,983,508.90/14,609
  6. Step 6: Final answer
    x = 11,019.47

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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.