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Finding the Fourth Proportional to 12,818.64, 17,686.70 and 7,782.76

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Solution

The fourth proportional to 12,818.64, 17,686.70 and 7,782.76 is: 10,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.64 : 17,686.70 = 7,782.76 : x
  2. Step 2: Convert to fraction form
    12,818.64/17,686.70 = 7,782.76/x
  3. Step 3: Cross multiply
    12,818.64x = 17,686.70 × 7,782.76
  4. Step 4: Simplify right side
    12,818.64x = 137,651,341.29
  5. Step 5: Solve for x
    x = 137,651,341.29/12,818.64
  6. Step 6: Final answer
    x = 10,738.37

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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.