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Finding the Fourth Proportional to 12,816.60, 19,224.04 and 7,618

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Solution

The fourth proportional to 12,816.60, 19,224.04 and 7,618 is: 11,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.60 : 19,224.04 = 7,618 : x
  2. Step 2: Convert to fraction form
    12,816.60/19,224.04 = 7,618/x
  3. Step 3: Cross multiply
    12,816.60x = 19,224.04 × 7,618
  4. Step 4: Simplify right side
    12,816.60x = 146,448,736.72
  5. Step 5: Solve for x
    x = 146,448,736.72/12,816.60
  6. Step 6: Final answer
    x = 11,426.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.