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Finding the Fourth Proportional to 16,784.61, 23,161.44 and 9,711.55

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Solution

The fourth proportional to 16,784.61, 23,161.44 and 9,711.55 is: 13,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.61 : 23,161.44 = 9,711.55 : x
  2. Step 2: Convert to fraction form
    16,784.61/23,161.44 = 9,711.55/x
  3. Step 3: Cross multiply
    16,784.61x = 23,161.44 × 9,711.55
  4. Step 4: Simplify right side
    16,784.61x = 224,933,482.63
  5. Step 5: Solve for x
    x = 224,933,482.63/16,784.61
  6. Step 6: Final answer
    x = 13,401.17

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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.