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Finding the Fourth Proportional to 16,345.84, 24,521.64 and 8,446.15

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Solution

The fourth proportional to 16,345.84, 24,521.64 and 8,446.15 is: 12,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345.84 : 24,521.64 = 8,446.15 : x
  2. Step 2: Convert to fraction form
    16,345.84/24,521.64 = 8,446.15/x
  3. Step 3: Cross multiply
    16,345.84x = 24,521.64 × 8,446.15
  4. Step 4: Simplify right side
    16,345.84x = 207,113,284.85
  5. Step 5: Solve for x
    x = 207,113,284.85/16,345.84
  6. Step 6: Final answer
    x = 12,670.70

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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.