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Finding the Fourth Proportional to 14,465.88, 21,702.05 and 6,146.16

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Solution

The fourth proportional to 14,465.88, 21,702.05 and 6,146.16 is: 9,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.88 : 21,702.05 = 6,146.16 : x
  2. Step 2: Convert to fraction form
    14,465.88/21,702.05 = 6,146.16/x
  3. Step 3: Cross multiply
    14,465.88x = 21,702.05 × 6,146.16
  4. Step 4: Simplify right side
    14,465.88x = 133,384,240.90
  5. Step 5: Solve for x
    x = 133,384,240.90/14,465.88
  6. Step 6: Final answer
    x = 9,220.61

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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.