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Finding the Fourth Proportional to 15,714.67, 23,572 and 4,621.36

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Solution

The fourth proportional to 15,714.67, 23,572 and 4,621.36 is: 6,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.67 : 23,572 = 4,621.36 : x
  2. Step 2: Convert to fraction form
    15,714.67/23,572 = 4,621.36/x
  3. Step 3: Cross multiply
    15,714.67x = 23,572 × 4,621.36
  4. Step 4: Simplify right side
    15,714.67x = 108,934,580.06
  5. Step 5: Solve for x
    x = 108,934,580.06/15,714.67
  6. Step 6: Final answer
    x = 6,932.03

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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.