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Finding the Fourth Proportional to 13,810.89, 19,065.51 and 8,143.86

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Solution

The fourth proportional to 13,810.89, 19,065.51 and 8,143.86 is: 11,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.89 : 19,065.51 = 8,143.86 : x
  2. Step 2: Convert to fraction form
    13,810.89/19,065.51 = 8,143.86/x
  3. Step 3: Cross multiply
    13,810.89x = 19,065.51 × 8,143.86
  4. Step 4: Simplify right side
    13,810.89x = 155,266,844.27
  5. Step 5: Solve for x
    x = 155,266,844.27/13,810.89
  6. Step 6: Final answer
    x = 11,242.35

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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.