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Finding the Fourth Proportional to 15,929.84, 23,903.98 and 6,568.11

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Solution

The fourth proportional to 15,929.84, 23,903.98 and 6,568.11 is: 9,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.84 : 23,903.98 = 6,568.11 : x
  2. Step 2: Convert to fraction form
    15,929.84/23,903.98 = 6,568.11/x
  3. Step 3: Cross multiply
    15,929.84x = 23,903.98 × 6,568.11
  4. Step 4: Simplify right side
    15,929.84x = 157,003,970.08
  5. Step 5: Solve for x
    x = 157,003,970.08/15,929.84
  6. Step 6: Final answer
    x = 9,855.97

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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.