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Finding the Fourth Proportional to 27,323.70, 37,708.11 and 16,710

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Solution

The fourth proportional to 27,323.70, 37,708.11 and 16,710 is: 23,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,323.70 : 37,708.11 = 16,710 : x
  2. Step 2: Convert to fraction form
    27,323.70/37,708.11 = 16,710/x
  3. Step 3: Cross multiply
    27,323.70x = 37,708.11 × 16,710
  4. Step 4: Simplify right side
    27,323.70x = 630,102,518.10
  5. Step 5: Solve for x
    x = 630,102,518.10/27,323.70
  6. Step 6: Final answer
    x = 23,060.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.