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Finding the Fourth Proportional to 15,216.64, 22,823.76 and 4,828.48

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Solution

The fourth proportional to 15,216.64, 22,823.76 and 4,828.48 is: 7,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216.64 : 22,823.76 = 4,828.48 : x
  2. Step 2: Convert to fraction form
    15,216.64/22,823.76 = 4,828.48/x
  3. Step 3: Cross multiply
    15,216.64x = 22,823.76 × 4,828.48
  4. Step 4: Simplify right side
    15,216.64x = 110,204,068.68
  5. Step 5: Solve for x
    x = 110,204,068.68/15,216.64
  6. Step 6: Final answer
    x = 7,242.34

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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.