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Finding the Fourth Proportional to 13,851.85, 19,103.50 and 9,004.53

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Solution

The fourth proportional to 13,851.85, 19,103.50 and 9,004.53 is: 12,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.85 : 19,103.50 = 9,004.53 : x
  2. Step 2: Convert to fraction form
    13,851.85/19,103.50 = 9,004.53/x
  3. Step 3: Cross multiply
    13,851.85x = 19,103.50 × 9,004.53
  4. Step 4: Simplify right side
    13,851.85x = 172,018,038.86
  5. Step 5: Solve for x
    x = 172,018,038.86/13,851.85
  6. Step 6: Final answer
    x = 12,418.42

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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.