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Finding the Fourth Proportional to 34,903.76, 52,324.65 and 12,713.00

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Solution

The fourth proportional to 34,903.76, 52,324.65 and 12,713.00 is: 19,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,903.76 : 52,324.65 = 12,713.00 : x
  2. Step 2: Convert to fraction form
    34,903.76/52,324.65 = 12,713.00/x
  3. Step 3: Cross multiply
    34,903.76x = 52,324.65 × 12,713.00
  4. Step 4: Simplify right side
    34,903.76x = 665,203,013.83
  5. Step 5: Solve for x
    x = 665,203,013.83/34,903.76
  6. Step 6: Final answer
    x = 19,058.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.