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Finding the Fourth Proportional to 16,894.22, 23,315.46 and 9,820.19

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Solution

The fourth proportional to 16,894.22, 23,315.46 and 9,820.19 is: 13,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.22 : 23,315.46 = 9,820.19 : x
  2. Step 2: Convert to fraction form
    16,894.22/23,315.46 = 9,820.19/x
  3. Step 3: Cross multiply
    16,894.22x = 23,315.46 × 9,820.19
  4. Step 4: Simplify right side
    16,894.22x = 228,962,247.14
  5. Step 5: Solve for x
    x = 228,962,247.14/16,894.22
  6. Step 6: Final answer
    x = 13,552.70

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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.