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Finding the Fourth Proportional to 13,781.94, 19,018.68 and 7,814.16

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Solution

The fourth proportional to 13,781.94, 19,018.68 and 7,814.16 is: 10,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.94 : 19,018.68 = 7,814.16 : x
  2. Step 2: Convert to fraction form
    13,781.94/19,018.68 = 7,814.16/x
  3. Step 3: Cross multiply
    13,781.94x = 19,018.68 × 7,814.16
  4. Step 4: Simplify right side
    13,781.94x = 148,615,008.51
  5. Step 5: Solve for x
    x = 148,615,008.51/13,781.94
  6. Step 6: Final answer
    x = 10,783.32

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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.