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Finding the Fourth Proportional to 12,698.06, 17,511.27 and 9,714.02

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Solution

The fourth proportional to 12,698.06, 17,511.27 and 9,714.02 is: 13,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.06 : 17,511.27 = 9,714.02 : x
  2. Step 2: Convert to fraction form
    12,698.06/17,511.27 = 9,714.02/x
  3. Step 3: Cross multiply
    12,698.06x = 17,511.27 × 9,714.02
  4. Step 4: Simplify right side
    12,698.06x = 170,104,827.01
  5. Step 5: Solve for x
    x = 170,104,827.01/12,698.06
  6. Step 6: Final answer
    x = 13,396.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.