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Finding the Fourth Proportional to 27,164.63, 40,762.83 and 11,368.34

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Solution

The fourth proportional to 27,164.63, 40,762.83 and 11,368.34 is: 17,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.63 : 40,762.83 = 11,368.34 : x
  2. Step 2: Convert to fraction form
    27,164.63/40,762.83 = 11,368.34/x
  3. Step 3: Cross multiply
    27,164.63x = 40,762.83 × 11,368.34
  4. Step 4: Simplify right side
    27,164.63x = 463,405,710.80
  5. Step 5: Solve for x
    x = 463,405,710.80/27,164.63
  6. Step 6: Final answer
    x = 17,059.16

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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.