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Finding the Fourth Proportional to 13,991.40, 19,307.84 and 7,703.78

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Solution

The fourth proportional to 13,991.40, 19,307.84 and 7,703.78 is: 10,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.40 : 19,307.84 = 7,703.78 : x
  2. Step 2: Convert to fraction form
    13,991.40/19,307.84 = 7,703.78/x
  3. Step 3: Cross multiply
    13,991.40x = 19,307.84 × 7,703.78
  4. Step 4: Simplify right side
    13,991.40x = 148,743,216.58
  5. Step 5: Solve for x
    x = 148,743,216.58/13,991.40
  6. Step 6: Final answer
    x = 10,631.05

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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.