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Finding the Fourth Proportional to 25,970.52, 38,946.96 and 8,436

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Solution

The fourth proportional to 25,970.52, 38,946.96 and 8,436 is: 12,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,970.52 : 38,946.96 = 8,436 : x
  2. Step 2: Convert to fraction form
    25,970.52/38,946.96 = 8,436/x
  3. Step 3: Cross multiply
    25,970.52x = 38,946.96 × 8,436
  4. Step 4: Simplify right side
    25,970.52x = 328,556,554.56
  5. Step 5: Solve for x
    x = 328,556,554.56/25,970.52
  6. Step 6: Final answer
    x = 12,651.14

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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.