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Finding the Fourth Proportional to 13,777.98, 19,015.10 and 7,809.01

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Solution

The fourth proportional to 13,777.98, 19,015.10 and 7,809.01 is: 10,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.98 : 19,015.10 = 7,809.01 : x
  2. Step 2: Convert to fraction form
    13,777.98/19,015.10 = 7,809.01/x
  3. Step 3: Cross multiply
    13,777.98x = 19,015.10 × 7,809.01
  4. Step 4: Simplify right side
    13,777.98x = 148,489,058.51
  5. Step 5: Solve for x
    x = 148,489,058.51/13,777.98
  6. Step 6: Final answer
    x = 10,777.27

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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.