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Finding the Fourth Proportional to 15,102.76, 22,653.78 and 4,714.24

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Solution

The fourth proportional to 15,102.76, 22,653.78 and 4,714.24 is: 7,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.76 : 22,653.78 = 4,714.24 : x
  2. Step 2: Convert to fraction form
    15,102.76/22,653.78 = 4,714.24/x
  3. Step 3: Cross multiply
    15,102.76x = 22,653.78 × 4,714.24
  4. Step 4: Simplify right side
    15,102.76x = 106,795,355.83
  5. Step 5: Solve for x
    x = 106,795,355.83/15,102.76
  6. Step 6: Final answer
    x = 7,071.25

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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.