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Finding the Fourth Proportional to 16,005.84, 22,088.10 and 8,932.74

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Solution

The fourth proportional to 16,005.84, 22,088.10 and 8,932.74 is: 12,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.84 : 22,088.10 = 8,932.74 : x
  2. Step 2: Convert to fraction form
    16,005.84/22,088.10 = 8,932.74/x
  3. Step 3: Cross multiply
    16,005.84x = 22,088.10 × 8,932.74
  4. Step 4: Simplify right side
    16,005.84x = 197,307,254.39
  5. Step 5: Solve for x
    x = 197,307,254.39/16,005.84
  6. Step 6: Final answer
    x = 12,327.20

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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.