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Finding the Fourth Proportional to 17,637.84, 26,457.84 and 7,106.22

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Solution

The fourth proportional to 17,637.84, 26,457.84 and 7,106.22 is: 10,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.84 : 26,457.84 = 7,106.22 : x
  2. Step 2: Convert to fraction form
    17,637.84/26,457.84 = 7,106.22/x
  3. Step 3: Cross multiply
    17,637.84x = 26,457.84 × 7,106.22
  4. Step 4: Simplify right side
    17,637.84x = 188,015,231.76
  5. Step 5: Solve for x
    x = 188,015,231.76/17,637.84
  6. Step 6: Final answer
    x = 10,659.77

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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.