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Finding the Fourth Proportional to 16,455.68, 22,708.70 and 9,381.95

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Solution

The fourth proportional to 16,455.68, 22,708.70 and 9,381.95 is: 12,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.68 : 22,708.70 = 9,381.95 : x
  2. Step 2: Convert to fraction form
    16,455.68/22,708.70 = 9,381.95/x
  3. Step 3: Cross multiply
    16,455.68x = 22,708.70 × 9,381.95
  4. Step 4: Simplify right side
    16,455.68x = 213,051,727.51
  5. Step 5: Solve for x
    x = 213,051,727.51/16,455.68
  6. Step 6: Final answer
    x = 12,947.01

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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.