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Finding the Fourth Proportional to 21,778.42, 30,053.48 and 12,346.98

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Solution

The fourth proportional to 21,778.42, 30,053.48 and 12,346.98 is: 17,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.42 : 30,053.48 = 12,346.98 : x
  2. Step 2: Convert to fraction form
    21,778.42/30,053.48 = 12,346.98/x
  3. Step 3: Cross multiply
    21,778.42x = 30,053.48 × 12,346.98
  4. Step 4: Simplify right side
    21,778.42x = 371,069,780.56
  5. Step 5: Solve for x
    x = 371,069,780.56/21,778.42
  6. Step 6: Final answer
    x = 17,038.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.