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Finding the Fourth Proportional to 14,266.44, 19,681.14 and 9,232.30

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Solution

The fourth proportional to 14,266.44, 19,681.14 and 9,232.30 is: 12,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.44 : 19,681.14 = 9,232.30 : x
  2. Step 2: Convert to fraction form
    14,266.44/19,681.14 = 9,232.30/x
  3. Step 3: Cross multiply
    14,266.44x = 19,681.14 × 9,232.30
  4. Step 4: Simplify right side
    14,266.44x = 181,702,188.82
  5. Step 5: Solve for x
    x = 181,702,188.82/14,266.44
  6. Step 6: Final answer
    x = 12,736.34

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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.