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Finding the Fourth Proportional to 15,322.10, 22,980.41 and 4,077.50

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Solution

The fourth proportional to 15,322.10, 22,980.41 and 4,077.50 is: 6,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.10 : 22,980.41 = 4,077.50 : x
  2. Step 2: Convert to fraction form
    15,322.10/22,980.41 = 4,077.50/x
  3. Step 3: Cross multiply
    15,322.10x = 22,980.41 × 4,077.50
  4. Step 4: Simplify right side
    15,322.10x = 93,702,621.78
  5. Step 5: Solve for x
    x = 93,702,621.78/15,322.10
  6. Step 6: Final answer
    x = 6,115.52

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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.