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Finding the Fourth Proportional to 13,133.60, 19,700.40 and 5,338.40

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Solution

The fourth proportional to 13,133.60, 19,700.40 and 5,338.40 is: 8,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.60 : 19,700.40 = 5,338.40 : x
  2. Step 2: Convert to fraction form
    13,133.60/19,700.40 = 5,338.40/x
  3. Step 3: Cross multiply
    13,133.60x = 19,700.40 × 5,338.40
  4. Step 4: Simplify right side
    13,133.60x = 105,168,615.36
  5. Step 5: Solve for x
    x = 105,168,615.36/13,133.60
  6. Step 6: Final answer
    x = 8,007.60

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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.