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Finding the Fourth Proportional to 26,599.40, 39,904.92 and 7,880.90

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Solution

The fourth proportional to 26,599.40, 39,904.92 and 7,880.90 is: 11,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,599.40 : 39,904.92 = 7,880.90 : x
  2. Step 2: Convert to fraction form
    26,599.40/39,904.92 = 7,880.90/x
  3. Step 3: Cross multiply
    26,599.40x = 39,904.92 × 7,880.90
  4. Step 4: Simplify right side
    26,599.40x = 314,486,484.50
  5. Step 5: Solve for x
    x = 314,486,484.50/26,599.40
  6. Step 6: Final answer
    x = 11,823.07

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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.