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Finding the Fourth Proportional to 16,697.80, 23,037.37 and 9,624.07

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Solution

The fourth proportional to 16,697.80, 23,037.37 and 9,624.07 is: 13,277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.80 : 23,037.37 = 9,624.07 : x
  2. Step 2: Convert to fraction form
    16,697.80/23,037.37 = 9,624.07/x
  3. Step 3: Cross multiply
    16,697.80x = 23,037.37 × 9,624.07
  4. Step 4: Simplify right side
    16,697.80x = 221,713,261.50
  5. Step 5: Solve for x
    x = 221,713,261.50/16,697.80
  6. Step 6: Final answer
    x = 13,277.99

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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.