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Finding the Fourth Proportional to 25,343.78, 34,973.02 and 14,012.62

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Solution

The fourth proportional to 25,343.78, 34,973.02 and 14,012.62 is: 19,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,343.78 : 34,973.02 = 14,012.62 : x
  2. Step 2: Convert to fraction form
    25,343.78/34,973.02 = 14,012.62/x
  3. Step 3: Cross multiply
    25,343.78x = 34,973.02 × 14,012.62
  4. Step 4: Simplify right side
    25,343.78x = 490,063,639.51
  5. Step 5: Solve for x
    x = 490,063,639.51/25,343.78
  6. Step 6: Final answer
    x = 19,336.64

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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.