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Finding the Fourth Proportional to 15,226.32, 22,828.08 and 6,455.60

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Solution

The fourth proportional to 15,226.32, 22,828.08 and 6,455.60 is: 9,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226.32 : 22,828.08 = 6,455.60 : x
  2. Step 2: Convert to fraction form
    15,226.32/22,828.08 = 6,455.60/x
  3. Step 3: Cross multiply
    15,226.32x = 22,828.08 × 6,455.60
  4. Step 4: Simplify right side
    15,226.32x = 147,368,953.25
  5. Step 5: Solve for x
    x = 147,368,953.25/15,226.32
  6. Step 6: Final answer
    x = 9,678.57

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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.