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Finding the Fourth Proportional to 13,784.64, 19,019.77 and 7,814.94

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Solution

The fourth proportional to 13,784.64, 19,019.77 and 7,814.94 is: 10,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.64 : 19,019.77 = 7,814.94 : x
  2. Step 2: Convert to fraction form
    13,784.64/19,019.77 = 7,814.94/x
  3. Step 3: Cross multiply
    13,784.64x = 19,019.77 × 7,814.94
  4. Step 4: Simplify right side
    13,784.64x = 148,638,361.36
  5. Step 5: Solve for x
    x = 148,638,361.36/13,784.64
  6. Step 6: Final answer
    x = 10,782.90

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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.