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Finding the Fourth Proportional to 14,085.96, 19,434.24 and 9,371.04

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Solution

The fourth proportional to 14,085.96, 19,434.24 and 9,371.04 is: 12,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.96 : 19,434.24 = 9,371.04 : x
  2. Step 2: Convert to fraction form
    14,085.96/19,434.24 = 9,371.04/x
  3. Step 3: Cross multiply
    14,085.96x = 19,434.24 × 9,371.04
  4. Step 4: Simplify right side
    14,085.96x = 182,119,040.41
  5. Step 5: Solve for x
    x = 182,119,040.41/14,085.96
  6. Step 6: Final answer
    x = 12,929.12

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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.