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Finding the Fourth Proportional to 13,038.16, 17,992.62 and 7,069.82

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Solution

The fourth proportional to 13,038.16, 17,992.62 and 7,069.82 is: 9,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.16 : 17,992.62 = 7,069.82 : x
  2. Step 2: Convert to fraction form
    13,038.16/17,992.62 = 7,069.82/x
  3. Step 3: Cross multiply
    13,038.16x = 17,992.62 × 7,069.82
  4. Step 4: Simplify right side
    13,038.16x = 127,204,468.25
  5. Step 5: Solve for x
    x = 127,204,468.25/13,038.16
  6. Step 6: Final answer
    x = 9,756.32

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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.