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Finding the Fourth Proportional to 16,071.76, 24,089.16 and 6,206.72

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Solution

The fourth proportional to 16,071.76, 24,089.16 and 6,206.72 is: 9,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.76 : 24,089.16 = 6,206.72 : x
  2. Step 2: Convert to fraction form
    16,071.76/24,089.16 = 6,206.72/x
  3. Step 3: Cross multiply
    16,071.76x = 24,089.16 × 6,206.72
  4. Step 4: Simplify right side
    16,071.76x = 149,514,671.16
  5. Step 5: Solve for x
    x = 149,514,671.16/16,071.76
  6. Step 6: Final answer
    x = 9,302.94

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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.