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Finding the Fourth Proportional to 12,614.51, 18,924.26 and 3,730.00

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Solution

The fourth proportional to 12,614.51, 18,924.26 and 3,730.00 is: 5,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.51 : 18,924.26 = 3,730.00 : x
  2. Step 2: Convert to fraction form
    12,614.51/18,924.26 = 3,730.00/x
  3. Step 3: Cross multiply
    12,614.51x = 18,924.26 × 3,730.00
  4. Step 4: Simplify right side
    12,614.51x = 70,587,544.02
  5. Step 5: Solve for x
    x = 70,587,544.02/12,614.51
  6. Step 6: Final answer
    x = 5,595.74

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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.