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Finding the Fourth Proportional to 19,252, 26,506 and 16,766.92

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Solution

The fourth proportional to 19,252, 26,506 and 16,766.92 is: 23,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,252 : 26,506 = 16,766.92 : x
  2. Step 2: Convert to fraction form
    19,252/26,506 = 16,766.92/x
  3. Step 3: Cross multiply
    19,252x = 26,506 × 16,766.92
  4. Step 4: Simplify right side
    19,252x = 444,423,981.52
  5. Step 5: Solve for x
    x = 444,423,981.52/19,252
  6. Step 6: Final answer
    x = 23,084.56

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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.