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Finding the Fourth Proportional to 12,534.63, 17,297.78 and 7,499.06

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Solution

The fourth proportional to 12,534.63, 17,297.78 and 7,499.06 is: 10,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.63 : 17,297.78 = 7,499.06 : x
  2. Step 2: Convert to fraction form
    12,534.63/17,297.78 = 7,499.06/x
  3. Step 3: Cross multiply
    12,534.63x = 17,297.78 × 7,499.06
  4. Step 4: Simplify right side
    12,534.63x = 129,717,090.09
  5. Step 5: Solve for x
    x = 129,717,090.09/12,534.63
  6. Step 6: Final answer
    x = 10,348.70

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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.