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Finding the Fourth Proportional to 25,826.16, 35,640.36 and 14,646

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Solution

The fourth proportional to 25,826.16, 35,640.36 and 14,646 is: 20,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,826.16 : 35,640.36 = 14,646 : x
  2. Step 2: Convert to fraction form
    25,826.16/35,640.36 = 14,646/x
  3. Step 3: Cross multiply
    25,826.16x = 35,640.36 × 14,646
  4. Step 4: Simplify right side
    25,826.16x = 521,988,712.56
  5. Step 5: Solve for x
    x = 521,988,712.56/25,826.16
  6. Step 6: Final answer
    x = 20,211.63

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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.