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Finding the Fourth Proportional to 25,602.50, 38,373.57 and 11,546.06

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Solution

The fourth proportional to 25,602.50, 38,373.57 and 11,546.06 is: 17,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602.50 : 38,373.57 = 11,546.06 : x
  2. Step 2: Convert to fraction form
    25,602.50/38,373.57 = 11,546.06/x
  3. Step 3: Cross multiply
    25,602.50x = 38,373.57 × 11,546.06
  4. Step 4: Simplify right side
    25,602.50x = 443,063,349.77
  5. Step 5: Solve for x
    x = 443,063,349.77/25,602.50
  6. Step 6: Final answer
    x = 17,305.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.