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Finding the Fourth Proportional to 16,729, 25,095.20 and 4,417

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Solution

The fourth proportional to 16,729, 25,095.20 and 4,417 is: 6,625.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,729 : 25,095.20 = 4,417 : x
  2. Step 2: Convert to fraction form
    16,729/25,095.20 = 4,417/x
  3. Step 3: Cross multiply
    16,729x = 25,095.20 × 4,417
  4. Step 4: Simplify right side
    16,729x = 110,845,498.40
  5. Step 5: Solve for x
    x = 110,845,498.40/16,729
  6. Step 6: Final answer
    x = 6,625.95

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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.