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Finding the Fourth Proportional to 13,140.30, 19,710.45 and 10,202.70

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Solution

The fourth proportional to 13,140.30, 19,710.45 and 10,202.70 is: 15,304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140.30 : 19,710.45 = 10,202.70 : x
  2. Step 2: Convert to fraction form
    13,140.30/19,710.45 = 10,202.70/x
  3. Step 3: Cross multiply
    13,140.30x = 19,710.45 × 10,202.70
  4. Step 4: Simplify right side
    13,140.30x = 201,099,808.22
  5. Step 5: Solve for x
    x = 201,099,808.22/13,140.30
  6. Step 6: Final answer
    x = 15,304.05

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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.