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Finding the Fourth Proportional to 25,880.92, 38,829.58 and 9,240.58

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Solution

The fourth proportional to 25,880.92, 38,829.58 and 9,240.58 is: 13,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880.92 : 38,829.58 = 9,240.58 : x
  2. Step 2: Convert to fraction form
    25,880.92/38,829.58 = 9,240.58/x
  3. Step 3: Cross multiply
    25,880.92x = 38,829.58 × 9,240.58
  4. Step 4: Simplify right side
    25,880.92x = 358,807,840.36
  5. Step 5: Solve for x
    x = 358,807,840.36/25,880.92
  6. Step 6: Final answer
    x = 13,863.80

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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.