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Finding the Fourth Proportional to 13,782.79, 19,024.59 and 7,818.42

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Solution

The fourth proportional to 13,782.79, 19,024.59 and 7,818.42 is: 10,791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.79 : 19,024.59 = 7,818.42 : x
  2. Step 2: Convert to fraction form
    13,782.79/19,024.59 = 7,818.42/x
  3. Step 3: Cross multiply
    13,782.79x = 19,024.59 × 7,818.42
  4. Step 4: Simplify right side
    13,782.79x = 148,742,291.63
  5. Step 5: Solve for x
    x = 148,742,291.63/13,782.79
  6. Step 6: Final answer
    x = 10,791.88

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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.