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Finding the Fourth Proportional to 13,007.80, 19,511.70 and 5,987.80

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Solution

The fourth proportional to 13,007.80, 19,511.70 and 5,987.80 is: 8,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.80 : 19,511.70 = 5,987.80 : x
  2. Step 2: Convert to fraction form
    13,007.80/19,511.70 = 5,987.80/x
  3. Step 3: Cross multiply
    13,007.80x = 19,511.70 × 5,987.80
  4. Step 4: Simplify right side
    13,007.80x = 116,832,157.26
  5. Step 5: Solve for x
    x = 116,832,157.26/13,007.80
  6. Step 6: Final answer
    x = 8,981.70

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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.