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Finding the Fourth Proportional to 14,105.61, 19,464.93 and 7,730.96

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Solution

The fourth proportional to 14,105.61, 19,464.93 and 7,730.96 is: 10,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.61 : 19,464.93 = 7,730.96 : x
  2. Step 2: Convert to fraction form
    14,105.61/19,464.93 = 7,730.96/x
  3. Step 3: Cross multiply
    14,105.61x = 19,464.93 × 7,730.96
  4. Step 4: Simplify right side
    14,105.61x = 150,482,497.91
  5. Step 5: Solve for x
    x = 150,482,497.91/14,105.61
  6. Step 6: Final answer
    x = 10,668.27

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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.