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Finding the Fourth Proportional to 13,834.68, 19,092 and 7,547.04

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Solution

The fourth proportional to 13,834.68, 19,092 and 7,547.04 is: 10,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.68 : 19,092 = 7,547.04 : x
  2. Step 2: Convert to fraction form
    13,834.68/19,092 = 7,547.04/x
  3. Step 3: Cross multiply
    13,834.68x = 19,092 × 7,547.04
  4. Step 4: Simplify right side
    13,834.68x = 144,088,087.68
  5. Step 5: Solve for x
    x = 144,088,087.68/13,834.68
  6. Step 6: Final answer
    x = 10,414.99

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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.