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Finding the Fourth Proportional to 21,838.95, 30,137.76 and 12,407.49

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Solution

The fourth proportional to 21,838.95, 30,137.76 and 12,407.49 is: 17,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.95 : 30,137.76 = 12,407.49 : x
  2. Step 2: Convert to fraction form
    21,838.95/30,137.76 = 12,407.49/x
  3. Step 3: Cross multiply
    21,838.95x = 30,137.76 × 12,407.49
  4. Step 4: Simplify right side
    21,838.95x = 373,933,955.82
  5. Step 5: Solve for x
    x = 373,933,955.82/21,838.95
  6. Step 6: Final answer
    x = 17,122.34

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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.