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Finding the Fourth Proportional to 25,206.68, 34,784.88 and 14,028.68

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Solution

The fourth proportional to 25,206.68, 34,784.88 and 14,028.68 is: 19,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.68 : 34,784.88 = 14,028.68 : x
  2. Step 2: Convert to fraction form
    25,206.68/34,784.88 = 14,028.68/x
  3. Step 3: Cross multiply
    25,206.68x = 34,784.88 × 14,028.68
  4. Step 4: Simplify right side
    25,206.68x = 487,985,950.36
  5. Step 5: Solve for x
    x = 487,985,950.36/25,206.68
  6. Step 6: Final answer
    x = 19,359.39

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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.