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Finding the Fourth Proportional to 15,677.46, 23,548.71 and 12,678.87

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Solution

The fourth proportional to 15,677.46, 23,548.71 and 12,678.87 is: 19,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.46 : 23,548.71 = 12,678.87 : x
  2. Step 2: Convert to fraction form
    15,677.46/23,548.71 = 12,678.87/x
  3. Step 3: Cross multiply
    15,677.46x = 23,548.71 × 12,678.87
  4. Step 4: Simplify right side
    15,677.46x = 298,571,032.76
  5. Step 5: Solve for x
    x = 298,571,032.76/15,677.46
  6. Step 6: Final answer
    x = 19,044.60

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