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Finding the Fourth Proportional to 12,714.32, 19,071.77 and 3,355.29

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Solution

The fourth proportional to 12,714.32, 19,071.77 and 3,355.29 is: 5,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.32 : 19,071.77 = 3,355.29 : x
  2. Step 2: Convert to fraction form
    12,714.32/19,071.77 = 3,355.29/x
  3. Step 3: Cross multiply
    12,714.32x = 19,071.77 × 3,355.29
  4. Step 4: Simplify right side
    12,714.32x = 63,991,319.16
  5. Step 5: Solve for x
    x = 63,991,319.16/12,714.32
  6. Step 6: Final answer
    x = 5,033.01

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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.