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Finding the Fourth Proportional to 12,426.48, 17,142 and 9,437.36

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Solution

The fourth proportional to 12,426.48, 17,142 and 9,437.36 is: 13,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.48 : 17,142 = 9,437.36 : x
  2. Step 2: Convert to fraction form
    12,426.48/17,142 = 9,437.36/x
  3. Step 3: Cross multiply
    12,426.48x = 17,142 × 9,437.36
  4. Step 4: Simplify right side
    12,426.48x = 161,775,225.12
  5. Step 5: Solve for x
    x = 161,775,225.12/12,426.48
  6. Step 6: Final answer
    x = 13,018.59

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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.