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Finding the Fourth Proportional to 15,486.72, 23,276.16 and 7,284.48

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Solution

The fourth proportional to 15,486.72, 23,276.16 and 7,284.48 is: 10,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486.72 : 23,276.16 = 7,284.48 : x
  2. Step 2: Convert to fraction form
    15,486.72/23,276.16 = 7,284.48/x
  3. Step 3: Cross multiply
    15,486.72x = 23,276.16 × 7,284.48
  4. Step 4: Simplify right side
    15,486.72x = 169,554,722.00
  5. Step 5: Solve for x
    x = 169,554,722.00/15,486.72
  6. Step 6: Final answer
    x = 10,948.39

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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.