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Finding the Fourth Proportional to 12,964.33, 17,886.09 and 8,490.63

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Solution

The fourth proportional to 12,964.33, 17,886.09 and 8,490.63 is: 11,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.33 : 17,886.09 = 8,490.63 : x
  2. Step 2: Convert to fraction form
    12,964.33/17,886.09 = 8,490.63/x
  3. Step 3: Cross multiply
    12,964.33x = 17,886.09 × 8,490.63
  4. Step 4: Simplify right side
    12,964.33x = 151,864,271.25
  5. Step 5: Solve for x
    x = 151,864,271.25/12,964.33
  6. Step 6: Final answer
    x = 11,714.01

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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.