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Finding the Fourth Proportional to 21,702.92, 29,941.98 and 12,264.44

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Solution

The fourth proportional to 21,702.92, 29,941.98 and 12,264.44 is: 16,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.92 : 29,941.98 = 12,264.44 : x
  2. Step 2: Convert to fraction form
    21,702.92/29,941.98 = 12,264.44/x
  3. Step 3: Cross multiply
    21,702.92x = 29,941.98 × 12,264.44
  4. Step 4: Simplify right side
    21,702.92x = 367,221,617.19
  5. Step 5: Solve for x
    x = 367,221,617.19/21,702.92
  6. Step 6: Final answer
    x = 16,920.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.