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Finding the Fourth Proportional to 16,803.95, 23,189.72 and 9,634.50

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Solution

The fourth proportional to 16,803.95, 23,189.72 and 9,634.50 is: 13,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.95 : 23,189.72 = 9,634.50 : x
  2. Step 2: Convert to fraction form
    16,803.95/23,189.72 = 9,634.50/x
  3. Step 3: Cross multiply
    16,803.95x = 23,189.72 × 9,634.50
  4. Step 4: Simplify right side
    16,803.95x = 223,421,309.17
  5. Step 5: Solve for x
    x = 223,421,309.17/16,803.95
  6. Step 6: Final answer
    x = 13,295.77

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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.