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Finding the Fourth Proportional to 12,034, 16,607.24 and 6,729.72

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Solution

The fourth proportional to 12,034, 16,607.24 and 6,729.72 is: 9,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034 : 16,607.24 = 6,729.72 : x
  2. Step 2: Convert to fraction form
    12,034/16,607.24 = 6,729.72/x
  3. Step 3: Cross multiply
    12,034x = 16,607.24 × 6,729.72
  4. Step 4: Simplify right side
    12,034x = 111,762,075.17
  5. Step 5: Solve for x
    x = 111,762,075.17/12,034
  6. Step 6: Final answer
    x = 9,287.19

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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.