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Finding the Fourth Proportional to 16,954.94, 23,397.58 and 9,784.87

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Solution

The fourth proportional to 16,954.94, 23,397.58 and 9,784.87 is: 13,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954.94 : 23,397.58 = 9,784.87 : x
  2. Step 2: Convert to fraction form
    16,954.94/23,397.58 = 9,784.87/x
  3. Step 3: Cross multiply
    16,954.94x = 23,397.58 × 9,784.87
  4. Step 4: Simplify right side
    16,954.94x = 228,942,177.31
  5. Step 5: Solve for x
    x = 228,942,177.31/16,954.94
  6. Step 6: Final answer
    x = 13,502.98

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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.