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Finding the Fourth Proportional to 13,783.64, 19,018.40 and 7,813.94

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Solution

The fourth proportional to 13,783.64, 19,018.40 and 7,813.94 is: 10,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.64 : 19,018.40 = 7,813.94 : x
  2. Step 2: Convert to fraction form
    13,783.64/19,018.40 = 7,813.94/x
  3. Step 3: Cross multiply
    13,783.64x = 19,018.40 × 7,813.94
  4. Step 4: Simplify right side
    13,783.64x = 148,608,502.33
  5. Step 5: Solve for x
    x = 148,608,502.33/13,783.64
  6. Step 6: Final answer
    x = 10,781.52

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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.