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Finding the Fourth Proportional to 13,782.30, 19,023.06 and 7,817.52

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Solution

The fourth proportional to 13,782.30, 19,023.06 and 7,817.52 is: 10,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.30 : 19,023.06 = 7,817.52 : x
  2. Step 2: Convert to fraction form
    13,782.30/19,023.06 = 7,817.52/x
  3. Step 3: Cross multiply
    13,782.30x = 19,023.06 × 7,817.52
  4. Step 4: Simplify right side
    13,782.30x = 148,713,152.01
  5. Step 5: Solve for x
    x = 148,713,152.01/13,782.30
  6. Step 6: Final answer
    x = 10,790.15

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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.