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Finding the Fourth Proportional to 14,083.17, 19,434.82 and 9,047.43

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Solution

The fourth proportional to 14,083.17, 19,434.82 and 9,047.43 is: 12,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.17 : 19,434.82 = 9,047.43 : x
  2. Step 2: Convert to fraction form
    14,083.17/19,434.82 = 9,047.43/x
  3. Step 3: Cross multiply
    14,083.17x = 19,434.82 × 9,047.43
  4. Step 4: Simplify right side
    14,083.17x = 175,835,173.51
  5. Step 5: Solve for x
    x = 175,835,173.51/14,083.17
  6. Step 6: Final answer
    x = 12,485.48

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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.