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Finding the Fourth Proportional to 14,029.71, 19,361.41 and 7,656.71

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Solution

The fourth proportional to 14,029.71, 19,361.41 and 7,656.71 is: 10,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029.71 : 19,361.41 = 7,656.71 : x
  2. Step 2: Convert to fraction form
    14,029.71/19,361.41 = 7,656.71/x
  3. Step 3: Cross multiply
    14,029.71x = 19,361.41 × 7,656.71
  4. Step 4: Simplify right side
    14,029.71x = 148,244,803.46
  5. Step 5: Solve for x
    x = 148,244,803.46/14,029.71
  6. Step 6: Final answer
    x = 10,566.49

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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.