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Finding the Fourth Proportional to 25,890.31, 35,725.28 and 14,558

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Solution

The fourth proportional to 25,890.31, 35,725.28 and 14,558 is: 20,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,890.31 : 35,725.28 = 14,558 : x
  2. Step 2: Convert to fraction form
    25,890.31/35,725.28 = 14,558/x
  3. Step 3: Cross multiply
    25,890.31x = 35,725.28 × 14,558
  4. Step 4: Simplify right side
    25,890.31x = 520,088,626.24
  5. Step 5: Solve for x
    x = 520,088,626.24/25,890.31
  6. Step 6: Final answer
    x = 20,088.16

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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.