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Finding the Fourth Proportional to 27,931.64, 38,543.64 and 16,600.64

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Solution

The fourth proportional to 27,931.64, 38,543.64 and 16,600.64 is: 22,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.64 : 38,543.64 = 16,600.64 : x
  2. Step 2: Convert to fraction form
    27,931.64/38,543.64 = 16,600.64/x
  3. Step 3: Cross multiply
    27,931.64x = 38,543.64 × 16,600.64
  4. Step 4: Simplify right side
    27,931.64x = 639,849,091.93
  5. Step 5: Solve for x
    x = 639,849,091.93/27,931.64
  6. Step 6: Final answer
    x = 22,907.68

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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.