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Finding the Fourth Proportional to 13,822.90, 19,075.64 and 7,856.55

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Solution

The fourth proportional to 13,822.90, 19,075.64 and 7,856.55 is: 10,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.90 : 19,075.64 = 7,856.55 : x
  2. Step 2: Convert to fraction form
    13,822.90/19,075.64 = 7,856.55/x
  3. Step 3: Cross multiply
    13,822.90x = 19,075.64 × 7,856.55
  4. Step 4: Simplify right side
    13,822.90x = 149,868,680.16
  5. Step 5: Solve for x
    x = 149,868,680.16/13,822.90
  6. Step 6: Final answer
    x = 10,842.06

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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.