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Finding the Fourth Proportional to 13,113.88, 19,675.14 and 5,320.60

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Solution

The fourth proportional to 13,113.88, 19,675.14 and 5,320.60 is: 7,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.88 : 19,675.14 = 5,320.60 : x
  2. Step 2: Convert to fraction form
    13,113.88/19,675.14 = 5,320.60/x
  3. Step 3: Cross multiply
    13,113.88x = 19,675.14 × 5,320.60
  4. Step 4: Simplify right side
    13,113.88x = 104,683,549.88
  5. Step 5: Solve for x
    x = 104,683,549.88/13,113.88
  6. Step 6: Final answer
    x = 7,982.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.