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Finding the Fourth Proportional to 14,321.50, 19,772.32 and 9,362.14

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Solution

The fourth proportional to 14,321.50, 19,772.32 and 9,362.14 is: 12,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.50 : 19,772.32 = 9,362.14 : x
  2. Step 2: Convert to fraction form
    14,321.50/19,772.32 = 9,362.14/x
  3. Step 3: Cross multiply
    14,321.50x = 19,772.32 × 9,362.14
  4. Step 4: Simplify right side
    14,321.50x = 185,111,227.96
  5. Step 5: Solve for x
    x = 185,111,227.96/14,321.50
  6. Step 6: Final answer
    x = 12,925.41

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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.