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Finding the Fourth Proportional to 27,536, 38,009.52 and 16,358

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Solution

The fourth proportional to 27,536, 38,009.52 and 16,358 is: 22,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,536 : 38,009.52 = 16,358 : x
  2. Step 2: Convert to fraction form
    27,536/38,009.52 = 16,358/x
  3. Step 3: Cross multiply
    27,536x = 38,009.52 × 16,358
  4. Step 4: Simplify right side
    27,536x = 621,759,728.16
  5. Step 5: Solve for x
    x = 621,759,728.16/27,536
  6. Step 6: Final answer
    x = 22,579.89

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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.