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Finding the Fourth Proportional to 14,165.76, 19,548.49 and 7,878

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Solution

The fourth proportional to 14,165.76, 19,548.49 and 7,878 is: 10,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.76 : 19,548.49 = 7,878 : x
  2. Step 2: Convert to fraction form
    14,165.76/19,548.49 = 7,878/x
  3. Step 3: Cross multiply
    14,165.76x = 19,548.49 × 7,878
  4. Step 4: Simplify right side
    14,165.76x = 154,003,004.22
  5. Step 5: Solve for x
    x = 154,003,004.22/14,165.76
  6. Step 6: Final answer
    x = 10,871.50

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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.