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Finding the Fourth Proportional to 24,336.48, 36,510.80 and 6,806.16

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Solution

The fourth proportional to 24,336.48, 36,510.80 and 6,806.16 is: 10,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,336.48 : 36,510.80 = 6,806.16 : x
  2. Step 2: Convert to fraction form
    24,336.48/36,510.80 = 6,806.16/x
  3. Step 3: Cross multiply
    24,336.48x = 36,510.80 × 6,806.16
  4. Step 4: Simplify right side
    24,336.48x = 248,498,312.50
  5. Step 5: Solve for x
    x = 248,498,312.50/24,336.48
  6. Step 6: Final answer
    x = 10,210.94

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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.