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Finding the Fourth Proportional to 13,916.68, 19,205.02 and 7,543.33

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Solution

The fourth proportional to 13,916.68, 19,205.02 and 7,543.33 is: 10,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.68 : 19,205.02 = 7,543.33 : x
  2. Step 2: Convert to fraction form
    13,916.68/19,205.02 = 7,543.33/x
  3. Step 3: Cross multiply
    13,916.68x = 19,205.02 × 7,543.33
  4. Step 4: Simplify right side
    13,916.68x = 144,869,707.49
  5. Step 5: Solve for x
    x = 144,869,707.49/13,916.68
  6. Step 6: Final answer
    x = 10,409.79

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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.