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Finding the Fourth Proportional to 16,088.34, 22,201.98 and 9,378.57

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Solution

The fourth proportional to 16,088.34, 22,201.98 and 9,378.57 is: 12,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,088.34 : 22,201.98 = 9,378.57 : x
  2. Step 2: Convert to fraction form
    16,088.34/22,201.98 = 9,378.57/x
  3. Step 3: Cross multiply
    16,088.34x = 22,201.98 × 9,378.57
  4. Step 4: Simplify right side
    16,088.34x = 208,222,823.57
  5. Step 5: Solve for x
    x = 208,222,823.57/16,088.34
  6. Step 6: Final answer
    x = 12,942.47

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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.