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Finding the Fourth Proportional to 21,671.46, 29,906.35 and 12,111.50

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Solution

The fourth proportional to 21,671.46, 29,906.35 and 12,111.50 is: 16,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.46 : 29,906.35 = 12,111.50 : x
  2. Step 2: Convert to fraction form
    21,671.46/29,906.35 = 12,111.50/x
  3. Step 3: Cross multiply
    21,671.46x = 29,906.35 × 12,111.50
  4. Step 4: Simplify right side
    21,671.46x = 362,210,802.51
  5. Step 5: Solve for x
    x = 362,210,802.51/21,671.46
  6. Step 6: Final answer
    x = 16,713.72

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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.