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Finding the Fourth Proportional to 16,362.94, 22,581.76 and 9,652.50

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Solution

The fourth proportional to 16,362.94, 22,581.76 and 9,652.50 is: 13,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362.94 : 22,581.76 = 9,652.50 : x
  2. Step 2: Convert to fraction form
    16,362.94/22,581.76 = 9,652.50/x
  3. Step 3: Cross multiply
    16,362.94x = 22,581.76 × 9,652.50
  4. Step 4: Simplify right side
    16,362.94x = 217,970,438.40
  5. Step 5: Solve for x
    x = 217,970,438.40/16,362.94
  6. Step 6: Final answer
    x = 13,320.98

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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.