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Finding the Fourth Proportional to 16,125.75, 22,255.97 and 9,841.77

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Solution

The fourth proportional to 16,125.75, 22,255.97 and 9,841.77 is: 13,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125.75 : 22,255.97 = 9,841.77 : x
  2. Step 2: Convert to fraction form
    16,125.75/22,255.97 = 9,841.77/x
  3. Step 3: Cross multiply
    16,125.75x = 22,255.97 × 9,841.77
  4. Step 4: Simplify right side
    16,125.75x = 219,038,088.66
  5. Step 5: Solve for x
    x = 219,038,088.66/16,125.75
  6. Step 6: Final answer
    x = 13,583.13

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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.