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Finding the Fourth Proportional to 14,111.10, 19,475.04 and 8,142.78

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Solution

The fourth proportional to 14,111.10, 19,475.04 and 8,142.78 is: 11,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.10 : 19,475.04 = 8,142.78 : x
  2. Step 2: Convert to fraction form
    14,111.10/19,475.04 = 8,142.78/x
  3. Step 3: Cross multiply
    14,111.10x = 19,475.04 × 8,142.78
  4. Step 4: Simplify right side
    14,111.10x = 158,580,966.21
  5. Step 5: Solve for x
    x = 158,580,966.21/14,111.10
  6. Step 6: Final answer
    x = 11,238.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.