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Finding the Fourth Proportional to 14,603.06, 21,907.84 and 4,214

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Solution

The fourth proportional to 14,603.06, 21,907.84 and 4,214 is: 6,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,603.06 : 21,907.84 = 4,214 : x
  2. Step 2: Convert to fraction form
    14,603.06/21,907.84 = 4,214/x
  3. Step 3: Cross multiply
    14,603.06x = 21,907.84 × 4,214
  4. Step 4: Simplify right side
    14,603.06x = 92,319,637.76
  5. Step 5: Solve for x
    x = 92,319,637.76/14,603.06
  6. Step 6: Final answer
    x = 6,321.94

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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.