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Finding the Fourth Proportional to 15,097.32, 22,645.98 and 4,709.88

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Solution

The fourth proportional to 15,097.32, 22,645.98 and 4,709.88 is: 7,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.32 : 22,645.98 = 4,709.88 : x
  2. Step 2: Convert to fraction form
    15,097.32/22,645.98 = 4,709.88/x
  3. Step 3: Cross multiply
    15,097.32x = 22,645.98 × 4,709.88
  4. Step 4: Simplify right side
    15,097.32x = 106,659,848.28
  5. Step 5: Solve for x
    x = 106,659,848.28/15,097.32
  6. Step 6: Final answer
    x = 7,064.82

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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.