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Finding the Fourth Proportional to 19,202, 26,498.76 and 10,370

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Solution

The fourth proportional to 19,202, 26,498.76 and 10,370 is: 14,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,202 : 26,498.76 = 10,370 : x
  2. Step 2: Convert to fraction form
    19,202/26,498.76 = 10,370/x
  3. Step 3: Cross multiply
    19,202x = 26,498.76 × 10,370
  4. Step 4: Simplify right side
    19,202x = 274,792,141.20
  5. Step 5: Solve for x
    x = 274,792,141.20/19,202
  6. Step 6: Final answer
    x = 14,310.60

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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.