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Finding the Fourth Proportional to 25,760, 35,548.80 and 14,582

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Solution

The fourth proportional to 25,760, 35,548.80 and 14,582 is: 20,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760 : 35,548.80 = 14,582 : x
  2. Step 2: Convert to fraction form
    25,760/35,548.80 = 14,582/x
  3. Step 3: Cross multiply
    25,760x = 35,548.80 × 14,582
  4. Step 4: Simplify right side
    25,760x = 518,372,601.60
  5. Step 5: Solve for x
    x = 518,372,601.60/25,760
  6. Step 6: Final answer
    x = 20,123.16

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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.