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Finding the Fourth Proportional to 15,101.44, 22,652.16 and 4,714.08

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Solution

The fourth proportional to 15,101.44, 22,652.16 and 4,714.08 is: 7,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.44 : 22,652.16 = 4,714.08 : x
  2. Step 2: Convert to fraction form
    15,101.44/22,652.16 = 4,714.08/x
  3. Step 3: Cross multiply
    15,101.44x = 22,652.16 × 4,714.08
  4. Step 4: Simplify right side
    15,101.44x = 106,784,094.41
  5. Step 5: Solve for x
    x = 106,784,094.41/15,101.44
  6. Step 6: Final answer
    x = 7,071.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.