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Finding the Fourth Proportional to 14,468.41, 21,702.39 and 4,607.61

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Solution

The fourth proportional to 14,468.41, 21,702.39 and 4,607.61 is: 6,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.41 : 21,702.39 = 4,607.61 : x
  2. Step 2: Convert to fraction form
    14,468.41/21,702.39 = 4,607.61/x
  3. Step 3: Cross multiply
    14,468.41x = 21,702.39 × 4,607.61
  4. Step 4: Simplify right side
    14,468.41x = 99,996,149.19
  5. Step 5: Solve for x
    x = 99,996,149.19/14,468.41
  6. Step 6: Final answer
    x = 6,911.34

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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.