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Finding the Fourth Proportional to 13,782.36, 20,678.40 and 5,018.16

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Solution

The fourth proportional to 13,782.36, 20,678.40 and 5,018.16 is: 7,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.36 : 20,678.40 = 5,018.16 : x
  2. Step 2: Convert to fraction form
    13,782.36/20,678.40 = 5,018.16/x
  3. Step 3: Cross multiply
    13,782.36x = 20,678.40 × 5,018.16
  4. Step 4: Simplify right side
    13,782.36x = 103,767,519.74
  5. Step 5: Solve for x
    x = 103,767,519.74/13,782.36
  6. Step 6: Final answer
    x = 7,529.01

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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.