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Finding the Fourth Proportional to 14,236.65, 19,645.53 and 7,862.22

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Solution

The fourth proportional to 14,236.65, 19,645.53 and 7,862.22 is: 10,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236.65 : 19,645.53 = 7,862.22 : x
  2. Step 2: Convert to fraction form
    14,236.65/19,645.53 = 7,862.22/x
  3. Step 3: Cross multiply
    14,236.65x = 19,645.53 × 7,862.22
  4. Step 4: Simplify right side
    14,236.65x = 154,457,478.88
  5. Step 5: Solve for x
    x = 154,457,478.88/14,236.65
  6. Step 6: Final answer
    x = 10,849.29

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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.