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Finding the Fourth Proportional to 16,405.56, 24,608.16 and 5,312

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Solution

The fourth proportional to 16,405.56, 24,608.16 and 5,312 is: 7,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.56 : 24,608.16 = 5,312 : x
  2. Step 2: Convert to fraction form
    16,405.56/24,608.16 = 5,312/x
  3. Step 3: Cross multiply
    16,405.56x = 24,608.16 × 5,312
  4. Step 4: Simplify right side
    16,405.56x = 130,718,545.92
  5. Step 5: Solve for x
    x = 130,718,545.92/16,405.56
  6. Step 6: Final answer
    x = 7,967.94

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Why These Related Problems?

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