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Finding the Fourth Proportional to 15,322.08, 22,978.88 and 4,226.16

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Solution

The fourth proportional to 15,322.08, 22,978.88 and 4,226.16 is: 6,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.08 : 22,978.88 = 4,226.16 : x
  2. Step 2: Convert to fraction form
    15,322.08/22,978.88 = 4,226.16/x
  3. Step 3: Cross multiply
    15,322.08x = 22,978.88 × 4,226.16
  4. Step 4: Simplify right side
    15,322.08x = 97,112,423.50
  5. Step 5: Solve for x
    x = 97,112,423.50/15,322.08
  6. Step 6: Final answer
    x = 6,338.07

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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.