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Finding the Fourth Proportional to 27,502, 37,962.60 and 16,324

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Solution

The fourth proportional to 27,502, 37,962.60 and 16,324 is: 22,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502 : 37,962.60 = 16,324 : x
  2. Step 2: Convert to fraction form
    27,502/37,962.60 = 16,324/x
  3. Step 3: Cross multiply
    27,502x = 37,962.60 × 16,324
  4. Step 4: Simplify right side
    27,502x = 619,701,482.40
  5. Step 5: Solve for x
    x = 619,701,482.40/27,502
  6. Step 6: Final answer
    x = 22,532.96

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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.