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Finding the Fourth Proportional to 13,784.99, 19,024.27 and 7,817.18

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Solution

The fourth proportional to 13,784.99, 19,024.27 and 7,817.18 is: 10,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.99 : 19,024.27 = 7,817.18 : x
  2. Step 2: Convert to fraction form
    13,784.99/19,024.27 = 7,817.18/x
  3. Step 3: Cross multiply
    13,784.99x = 19,024.27 × 7,817.18
  4. Step 4: Simplify right side
    13,784.99x = 148,716,028.29
  5. Step 5: Solve for x
    x = 148,716,028.29/13,784.99
  6. Step 6: Final answer
    x = 10,788.26

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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.