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Finding the Fourth Proportional to 26,554.94, 39,823.13 and 7,830.01

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Solution

The fourth proportional to 26,554.94, 39,823.13 and 7,830.01 is: 11,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,554.94 : 39,823.13 = 7,830.01 : x
  2. Step 2: Convert to fraction form
    26,554.94/39,823.13 = 7,830.01/x
  3. Step 3: Cross multiply
    26,554.94x = 39,823.13 × 7,830.01
  4. Step 4: Simplify right side
    26,554.94x = 311,815,426.15
  5. Step 5: Solve for x
    x = 311,815,426.15/26,554.94
  6. Step 6: Final answer
    x = 11,742.27

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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.