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Finding the Fourth Proportional to 15,282.35, 22,925.65 and 6,964.46

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Solution

The fourth proportional to 15,282.35, 22,925.65 and 6,964.46 is: 10,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,282.35 : 22,925.65 = 6,964.46 : x
  2. Step 2: Convert to fraction form
    15,282.35/22,925.65 = 6,964.46/x
  3. Step 3: Cross multiply
    15,282.35x = 22,925.65 × 6,964.46
  4. Step 4: Simplify right side
    15,282.35x = 159,664,640.36
  5. Step 5: Solve for x
    x = 159,664,640.36/15,282.35
  6. Step 6: Final answer
    x = 10,447.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.