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Finding the Fourth Proportional to 13,023.66, 17,971.34 and 7,280.04

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Solution

The fourth proportional to 13,023.66, 17,971.34 and 7,280.04 is: 10,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.66 : 17,971.34 = 7,280.04 : x
  2. Step 2: Convert to fraction form
    13,023.66/17,971.34 = 7,280.04/x
  3. Step 3: Cross multiply
    13,023.66x = 17,971.34 × 7,280.04
  4. Step 4: Simplify right side
    13,023.66x = 130,832,074.05
  5. Step 5: Solve for x
    x = 130,832,074.05/13,023.66
  6. Step 6: Final answer
    x = 10,045.72

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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.