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Finding the Fourth Proportional to 25,754.58, 35,538.93 and 14,576.58

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Solution

The fourth proportional to 25,754.58, 35,538.93 and 14,576.58 is: 20,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.58 : 35,538.93 = 14,576.58 : x
  2. Step 2: Convert to fraction form
    25,754.58/35,538.93 = 14,576.58/x
  3. Step 3: Cross multiply
    25,754.58x = 35,538.93 × 14,576.58
  4. Step 4: Simplify right side
    25,754.58x = 518,036,056.26
  5. Step 5: Solve for x
    x = 518,036,056.26/25,754.58
  6. Step 6: Final answer
    x = 20,114.33

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1.5x scale

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.