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Finding the Fourth Proportional to 16,894.20, 23,312.26 and 9,820.02

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Solution

The fourth proportional to 16,894.20, 23,312.26 and 9,820.02 is: 13,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.20 : 23,312.26 = 9,820.02 : x
  2. Step 2: Convert to fraction form
    16,894.20/23,312.26 = 9,820.02/x
  3. Step 3: Cross multiply
    16,894.20x = 23,312.26 × 9,820.02
  4. Step 4: Simplify right side
    16,894.20x = 228,926,859.45
  5. Step 5: Solve for x
    x = 228,926,859.45/16,894.20
  6. Step 6: Final answer
    x = 13,550.62

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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.