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Finding the Fourth Proportional to 14,078.91, 19,428.90 and 7,705.52

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Solution

The fourth proportional to 14,078.91, 19,428.90 and 7,705.52 is: 10,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.91 : 19,428.90 = 7,705.52 : x
  2. Step 2: Convert to fraction form
    14,078.91/19,428.90 = 7,705.52/x
  3. Step 3: Cross multiply
    14,078.91x = 19,428.90 × 7,705.52
  4. Step 4: Simplify right side
    14,078.91x = 149,709,767.69
  5. Step 5: Solve for x
    x = 149,709,767.69/14,078.91
  6. Step 6: Final answer
    x = 10,633.62

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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.