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Finding the Fourth Proportional to 25,538.46, 38,307.72 and 8,009.66

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Solution

The fourth proportional to 25,538.46, 38,307.72 and 8,009.66 is: 12,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,538.46 : 38,307.72 = 8,009.66 : x
  2. Step 2: Convert to fraction form
    25,538.46/38,307.72 = 8,009.66/x
  3. Step 3: Cross multiply
    25,538.46x = 38,307.72 × 8,009.66
  4. Step 4: Simplify right side
    25,538.46x = 306,831,812.58
  5. Step 5: Solve for x
    x = 306,831,812.58/25,538.46
  6. Step 6: Final answer
    x = 12,014.50

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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.