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Finding the Fourth Proportional to 24,907.92, 34,373.16 and 13,730.32

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Solution

The fourth proportional to 24,907.92, 34,373.16 and 13,730.32 is: 18,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,907.92 : 34,373.16 = 13,730.32 : x
  2. Step 2: Convert to fraction form
    24,907.92/34,373.16 = 13,730.32/x
  3. Step 3: Cross multiply
    24,907.92x = 34,373.16 × 13,730.32
  4. Step 4: Simplify right side
    24,907.92x = 471,954,486.21
  5. Step 5: Solve for x
    x = 471,954,486.21/24,907.92
  6. Step 6: Final answer
    x = 18,947.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.