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Finding the Fourth Proportional to 14,335, 21,494.75 and 4,974.34

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Solution

The fourth proportional to 14,335, 21,494.75 and 4,974.34 is: 7,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335 : 21,494.75 = 4,974.34 : x
  2. Step 2: Convert to fraction form
    14,335/21,494.75 = 4,974.34/x
  3. Step 3: Cross multiply
    14,335x = 21,494.75 × 4,974.34
  4. Step 4: Simplify right side
    14,335x = 106,922,194.72
  5. Step 5: Solve for x
    x = 106,922,194.72/14,335
  6. Step 6: Final answer
    x = 7,458.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.