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Finding the Fourth Proportional to 16,006.32, 22,088.74 and 8,932.74

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Solution

The fourth proportional to 16,006.32, 22,088.74 and 8,932.74 is: 12,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.32 : 22,088.74 = 8,932.74 : x
  2. Step 2: Convert to fraction form
    16,006.32/22,088.74 = 8,932.74/x
  3. Step 3: Cross multiply
    16,006.32x = 22,088.74 × 8,932.74
  4. Step 4: Simplify right side
    16,006.32x = 197,312,971.35
  5. Step 5: Solve for x
    x = 197,312,971.35/16,006.32
  6. Step 6: Final answer
    x = 12,327.19

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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.