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Finding the Fourth Proportional to 13,019.47, 17,966.91 and 7,051.14

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Solution

The fourth proportional to 13,019.47, 17,966.91 and 7,051.14 is: 9,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.47 : 17,966.91 = 7,051.14 : x
  2. Step 2: Convert to fraction form
    13,019.47/17,966.91 = 7,051.14/x
  3. Step 3: Cross multiply
    13,019.47x = 17,966.91 × 7,051.14
  4. Step 4: Simplify right side
    13,019.47x = 126,687,224.22
  5. Step 5: Solve for x
    x = 126,687,224.22/13,019.47
  6. Step 6: Final answer
    x = 9,730.60

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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.