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Finding the Fourth Proportional to 13,023.06, 17,971.71 and 7,720.40

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Solution

The fourth proportional to 13,023.06, 17,971.71 and 7,720.40 is: 10,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.06 : 17,971.71 = 7,720.40 : x
  2. Step 2: Convert to fraction form
    13,023.06/17,971.71 = 7,720.40/x
  3. Step 3: Cross multiply
    13,023.06x = 17,971.71 × 7,720.40
  4. Step 4: Simplify right side
    13,023.06x = 138,748,700.03
  5. Step 5: Solve for x
    x = 138,748,700.03/13,023.06
  6. Step 6: Final answer
    x = 10,654.08

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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.