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Finding the Fourth Proportional to 13,089.10, 18,060.51 and 7,785.22

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Solution

The fourth proportional to 13,089.10, 18,060.51 and 7,785.22 is: 10,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.10 : 18,060.51 = 7,785.22 : x
  2. Step 2: Convert to fraction form
    13,089.10/18,060.51 = 7,785.22/x
  3. Step 3: Cross multiply
    13,089.10x = 18,060.51 × 7,785.22
  4. Step 4: Simplify right side
    13,089.10x = 140,605,043.66
  5. Step 5: Solve for x
    x = 140,605,043.66/13,089.10
  6. Step 6: Final answer
    x = 10,742.15

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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.