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Finding the Fourth Proportional to 13,019.97, 17,967.47 and 7,051.50

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Solution

The fourth proportional to 13,019.97, 17,967.47 and 7,051.50 is: 9,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.97 : 17,967.47 = 7,051.50 : x
  2. Step 2: Convert to fraction form
    13,019.97/17,967.47 = 7,051.50/x
  3. Step 3: Cross multiply
    13,019.97x = 17,967.47 × 7,051.50
  4. Step 4: Simplify right side
    13,019.97x = 126,697,579.45
  5. Step 5: Solve for x
    x = 126,697,579.45/13,019.97
  6. Step 6: Final answer
    x = 9,731.02

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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.