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Finding the Fourth Proportional to 25,970.60, 38,963.10 and 12,823.40

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Solution

The fourth proportional to 25,970.60, 38,963.10 and 12,823.40 is: 19,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,970.60 : 38,963.10 = 12,823.40 : x
  2. Step 2: Convert to fraction form
    25,970.60/38,963.10 = 12,823.40/x
  3. Step 3: Cross multiply
    25,970.60x = 38,963.10 × 12,823.40
  4. Step 4: Simplify right side
    25,970.60x = 499,639,416.54
  5. Step 5: Solve for x
    x = 499,639,416.54/25,970.60
  6. Step 6: Final answer
    x = 19,238.66

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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.