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Finding the Fourth Proportional to 14,699.42, 20,285.12 and 7,985

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Solution

The fourth proportional to 14,699.42, 20,285.12 and 7,985 is: 11,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.42 : 20,285.12 = 7,985 : x
  2. Step 2: Convert to fraction form
    14,699.42/20,285.12 = 7,985/x
  3. Step 3: Cross multiply
    14,699.42x = 20,285.12 × 7,985
  4. Step 4: Simplify right side
    14,699.42x = 161,976,683.20
  5. Step 5: Solve for x
    x = 161,976,683.20/14,699.42
  6. Step 6: Final answer
    x = 11,019.26

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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.