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Finding the Fourth Proportional to 14,274.56, 19,703.04 and 8,695.68

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Solution

The fourth proportional to 14,274.56, 19,703.04 and 8,695.68 is: 12,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.56 : 19,703.04 = 8,695.68 : x
  2. Step 2: Convert to fraction form
    14,274.56/19,703.04 = 8,695.68/x
  3. Step 3: Cross multiply
    14,274.56x = 19,703.04 × 8,695.68
  4. Step 4: Simplify right side
    14,274.56x = 171,331,330.87
  5. Step 5: Solve for x
    x = 171,331,330.87/14,274.56
  6. Step 6: Final answer
    x = 12,002.56

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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.