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Finding the Fourth Proportional to 16,005.39, 22,087.47 and 8,931.84

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Solution

The fourth proportional to 16,005.39, 22,087.47 and 8,931.84 is: 12,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.39 : 22,087.47 = 8,931.84 : x
  2. Step 2: Convert to fraction form
    16,005.39/22,087.47 = 8,931.84/x
  3. Step 3: Cross multiply
    16,005.39x = 22,087.47 × 8,931.84
  4. Step 4: Simplify right side
    16,005.39x = 197,281,748.04
  5. Step 5: Solve for x
    x = 197,281,748.04/16,005.39
  6. Step 6: Final answer
    x = 12,325.96

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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.