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Finding the Fourth Proportional to 25,852.64, 35,679.72 and 14,522.16

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Solution

The fourth proportional to 25,852.64, 35,679.72 and 14,522.16 is: 20,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.64 : 35,679.72 = 14,522.16 : x
  2. Step 2: Convert to fraction form
    25,852.64/35,679.72 = 14,522.16/x
  3. Step 3: Cross multiply
    25,852.64x = 35,679.72 × 14,522.16
  4. Step 4: Simplify right side
    25,852.64x = 518,146,508.47
  5. Step 5: Solve for x
    x = 518,146,508.47/25,852.64
  6. Step 6: Final answer
    x = 20,042.31

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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.