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Finding the Fourth Proportional to 15,808.60, 23,714.10 and 4,714.42

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Solution

The fourth proportional to 15,808.60, 23,714.10 and 4,714.42 is: 7,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808.60 : 23,714.10 = 4,714.42 : x
  2. Step 2: Convert to fraction form
    15,808.60/23,714.10 = 4,714.42/x
  3. Step 3: Cross multiply
    15,808.60x = 23,714.10 × 4,714.42
  4. Step 4: Simplify right side
    15,808.60x = 111,798,227.32
  5. Step 5: Solve for x
    x = 111,798,227.32/15,808.60
  6. Step 6: Final answer
    x = 7,071.99

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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.