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Finding the Fourth Proportional to 14,012.29, 19,336.97 and 7,638.91

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Solution

The fourth proportional to 14,012.29, 19,336.97 and 7,638.91 is: 10,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.29 : 19,336.97 = 7,638.91 : x
  2. Step 2: Convert to fraction form
    14,012.29/19,336.97 = 7,638.91/x
  3. Step 3: Cross multiply
    14,012.29x = 19,336.97 × 7,638.91
  4. Step 4: Simplify right side
    14,012.29x = 147,713,373.50
  5. Step 5: Solve for x
    x = 147,713,373.50/14,012.29
  6. Step 6: Final answer
    x = 10,541.70

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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.