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Finding the Fourth Proportional to 16,353.86, 24,531 and 4,667.07

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Solution

The fourth proportional to 16,353.86, 24,531 and 4,667.07 is: 7,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353.86 : 24,531 = 4,667.07 : x
  2. Step 2: Convert to fraction form
    16,353.86/24,531 = 4,667.07/x
  3. Step 3: Cross multiply
    16,353.86x = 24,531 × 4,667.07
  4. Step 4: Simplify right side
    16,353.86x = 114,487,894.17
  5. Step 5: Solve for x
    x = 114,487,894.17/16,353.86
  6. Step 6: Final answer
    x = 7,000.67

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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.