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Finding the Fourth Proportional to 13,095.09, 19,653.03 and 6,857.01

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Solution

The fourth proportional to 13,095.09, 19,653.03 and 6,857.01 is: 10,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,095.09 : 19,653.03 = 6,857.01 : x
  2. Step 2: Convert to fraction form
    13,095.09/19,653.03 = 6,857.01/x
  3. Step 3: Cross multiply
    13,095.09x = 19,653.03 × 6,857.01
  4. Step 4: Simplify right side
    13,095.09x = 134,761,023.24
  5. Step 5: Solve for x
    x = 134,761,023.24/13,095.09
  6. Step 6: Final answer
    x = 10,290.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.