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Finding the Fourth Proportional to 17,649.85, 26,478.02 and 5,804.29

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Solution

The fourth proportional to 17,649.85, 26,478.02 and 5,804.29 is: 8,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.85 : 26,478.02 = 5,804.29 : x
  2. Step 2: Convert to fraction form
    17,649.85/26,478.02 = 5,804.29/x
  3. Step 3: Cross multiply
    17,649.85x = 26,478.02 × 5,804.29
  4. Step 4: Simplify right side
    17,649.85x = 153,686,106.71
  5. Step 5: Solve for x
    x = 153,686,106.71/17,649.85
  6. Step 6: Final answer
    x = 8,707.50

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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.