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Finding the Fourth Proportional to 14,468.20, 21,702.22 and 6,146.93

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Solution

The fourth proportional to 14,468.20, 21,702.22 and 6,146.93 is: 9,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.20 : 21,702.22 = 6,146.93 : x
  2. Step 2: Convert to fraction form
    14,468.20/21,702.22 = 6,146.93/x
  3. Step 3: Cross multiply
    14,468.20x = 21,702.22 × 6,146.93
  4. Step 4: Simplify right side
    14,468.20x = 133,402,027.18
  5. Step 5: Solve for x
    x = 133,402,027.18/14,468.20
  6. Step 6: Final answer
    x = 9,220.36

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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.