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Finding the Fourth Proportional to 16,014, 24,014.88 and 7,691.64

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Solution

The fourth proportional to 16,014, 24,014.88 and 7,691.64 is: 11,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014 : 24,014.88 = 7,691.64 : x
  2. Step 2: Convert to fraction form
    16,014/24,014.88 = 7,691.64/x
  3. Step 3: Cross multiply
    16,014x = 24,014.88 × 7,691.64
  4. Step 4: Simplify right side
    16,014x = 184,713,811.60
  5. Step 5: Solve for x
    x = 184,713,811.60/16,014
  6. Step 6: Final answer
    x = 11,534.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.