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Finding the Fourth Proportional to 13,029.12, 17,980.16 and 7,060.77

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Solution

The fourth proportional to 13,029.12, 17,980.16 and 7,060.77 is: 9,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.12 : 17,980.16 = 7,060.77 : x
  2. Step 2: Convert to fraction form
    13,029.12/17,980.16 = 7,060.77/x
  3. Step 3: Cross multiply
    13,029.12x = 17,980.16 × 7,060.77
  4. Step 4: Simplify right side
    13,029.12x = 126,953,739.02
  5. Step 5: Solve for x
    x = 126,953,739.02/13,029.12
  6. Step 6: Final answer
    x = 9,743.85

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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.