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Finding the Fourth Proportional to 13,790.99, 19,032.56 and 7,823.18

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Solution

The fourth proportional to 13,790.99, 19,032.56 and 7,823.18 is: 10,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.99 : 19,032.56 = 7,823.18 : x
  2. Step 2: Convert to fraction form
    13,790.99/19,032.56 = 7,823.18/x
  3. Step 3: Cross multiply
    13,790.99x = 19,032.56 × 7,823.18
  4. Step 4: Simplify right side
    13,790.99x = 148,895,008.46
  5. Step 5: Solve for x
    x = 148,895,008.46/13,790.99
  6. Step 6: Final answer
    x = 10,796.55

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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.