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Finding the Fourth Proportional to 14,104.40, 19,464.68 and 7,816.36

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Solution

The fourth proportional to 14,104.40, 19,464.68 and 7,816.36 is: 10,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.40 : 19,464.68 = 7,816.36 : x
  2. Step 2: Convert to fraction form
    14,104.40/19,464.68 = 7,816.36/x
  3. Step 3: Cross multiply
    14,104.40x = 19,464.68 × 7,816.36
  4. Step 4: Simplify right side
    14,104.40x = 152,142,946.16
  5. Step 5: Solve for x
    x = 152,142,946.16/14,104.40
  6. Step 6: Final answer
    x = 10,786.91

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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.