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Finding the Fourth Proportional to 25,698.06, 35,462.16 and 14,367.42

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Solution

The fourth proportional to 25,698.06, 35,462.16 and 14,367.42 is: 19,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698.06 : 35,462.16 = 14,367.42 : x
  2. Step 2: Convert to fraction form
    25,698.06/35,462.16 = 14,367.42/x
  3. Step 3: Cross multiply
    25,698.06x = 35,462.16 × 14,367.42
  4. Step 4: Simplify right side
    25,698.06x = 509,499,746.83
  5. Step 5: Solve for x
    x = 509,499,746.83/25,698.06
  6. Step 6: Final answer
    x = 19,826.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.