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Finding the Fourth Proportional to 14,631.50, 20,191.47 and 8,007.50

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Solution

The fourth proportional to 14,631.50, 20,191.47 and 8,007.50 is: 11,050.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,631.50 : 20,191.47 = 8,007.50 : x
  2. Step 2: Convert to fraction form
    14,631.50/20,191.47 = 8,007.50/x
  3. Step 3: Cross multiply
    14,631.50x = 20,191.47 × 8,007.50
  4. Step 4: Simplify right side
    14,631.50x = 161,683,196.03
  5. Step 5: Solve for x
    x = 161,683,196.03/14,631.50
  6. Step 6: Final answer
    x = 11,050.35

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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.