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Finding the Fourth Proportional to 27,632.10, 38,130.02 and 16,302.08

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Solution

The fourth proportional to 27,632.10, 38,130.02 and 16,302.08 is: 22,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,632.10 : 38,130.02 = 16,302.08 : x
  2. Step 2: Convert to fraction form
    27,632.10/38,130.02 = 16,302.08/x
  3. Step 3: Cross multiply
    27,632.10x = 38,130.02 × 16,302.08
  4. Step 4: Simplify right side
    27,632.10x = 621,598,636.44
  5. Step 5: Solve for x
    x = 621,598,636.44/27,632.10
  6. Step 6: Final answer
    x = 22,495.53

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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.