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Finding the Fourth Proportional to 21,702.36, 29,956.02 and 14,135.40

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Solution

The fourth proportional to 21,702.36, 29,956.02 and 14,135.40 is: 19,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.36 : 29,956.02 = 14,135.40 : x
  2. Step 2: Convert to fraction form
    21,702.36/29,956.02 = 14,135.40/x
  3. Step 3: Cross multiply
    21,702.36x = 29,956.02 × 14,135.40
  4. Step 4: Simplify right side
    21,702.36x = 423,440,325.11
  5. Step 5: Solve for x
    x = 423,440,325.11/21,702.36
  6. Step 6: Final answer
    x = 19,511.26

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