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Finding the Fourth Proportional to 25,758, 35,546.04 and 14,580

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Solution

The fourth proportional to 25,758, 35,546.04 and 14,580 is: 20,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758 : 35,546.04 = 14,580 : x
  2. Step 2: Convert to fraction form
    25,758/35,546.04 = 14,580/x
  3. Step 3: Cross multiply
    25,758x = 35,546.04 × 14,580
  4. Step 4: Simplify right side
    25,758x = 518,261,263.20
  5. Step 5: Solve for x
    x = 518,261,263.20/25,758
  6. Step 6: Final answer
    x = 20,120.40

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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.