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Finding the Fourth Proportional to 16,068.16, 24,071.82 and 9,474.76

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Solution

The fourth proportional to 16,068.16, 24,071.82 and 9,474.76 is: 14,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,068.16 : 24,071.82 = 9,474.76 : x
  2. Step 2: Convert to fraction form
    16,068.16/24,071.82 = 9,474.76/x
  3. Step 3: Cross multiply
    16,068.16x = 24,071.82 × 9,474.76
  4. Step 4: Simplify right side
    16,068.16x = 228,074,717.26
  5. Step 5: Solve for x
    x = 228,074,717.26/16,068.16
  6. Step 6: Final answer
    x = 14,194.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.