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Finding the Fourth Proportional to 13,009.16, 17,950.71 and 7,902.02

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Solution

The fourth proportional to 13,009.16, 17,950.71 and 7,902.02 is: 10,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.16 : 17,950.71 = 7,902.02 : x
  2. Step 2: Convert to fraction form
    13,009.16/17,950.71 = 7,902.02/x
  3. Step 3: Cross multiply
    13,009.16x = 17,950.71 × 7,902.02
  4. Step 4: Simplify right side
    13,009.16x = 141,846,779.68
  5. Step 5: Solve for x
    x = 141,846,779.68/13,009.16
  6. Step 6: Final answer
    x = 10,903.61

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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.