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Finding the Fourth Proportional to 19,098, 26,356.05 and 10,714.50

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Solution

The fourth proportional to 19,098, 26,356.05 and 10,714.50 is: 14,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098 : 26,356.05 = 10,714.50 : x
  2. Step 2: Convert to fraction form
    19,098/26,356.05 = 10,714.50/x
  3. Step 3: Cross multiply
    19,098x = 26,356.05 × 10,714.50
  4. Step 4: Simplify right side
    19,098x = 282,391,897.73
  5. Step 5: Solve for x
    x = 282,391,897.73/19,098
  6. Step 6: Final answer
    x = 14,786.46

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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.