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Finding the Fourth Proportional to 13,019.34, 17,966.70 and 7,051.02

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Solution

The fourth proportional to 13,019.34, 17,966.70 and 7,051.02 is: 9,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.34 : 17,966.70 = 7,051.02 : x
  2. Step 2: Convert to fraction form
    13,019.34/17,966.70 = 7,051.02/x
  3. Step 3: Cross multiply
    13,019.34x = 17,966.70 × 7,051.02
  4. Step 4: Simplify right side
    13,019.34x = 126,683,561.03
  5. Step 5: Solve for x
    x = 126,683,561.03/13,019.34
  6. Step 6: Final answer
    x = 9,730.41

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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.