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Finding the Fourth Proportional to 15,478.64, 23,228.12 and 9,234

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Solution

The fourth proportional to 15,478.64, 23,228.12 and 9,234 is: 13,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,478.64 : 23,228.12 = 9,234 : x
  2. Step 2: Convert to fraction form
    15,478.64/23,228.12 = 9,234/x
  3. Step 3: Cross multiply
    15,478.64x = 23,228.12 × 9,234
  4. Step 4: Simplify right side
    15,478.64x = 214,488,460.08
  5. Step 5: Solve for x
    x = 214,488,460.08/15,478.64
  6. Step 6: Final answer
    x = 13,857.06

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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.