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Finding the Fourth Proportional to 12,071.63, 18,105.90 and 4,671.02

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Solution

The fourth proportional to 12,071.63, 18,105.90 and 4,671.02 is: 7,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.63 : 18,105.90 = 4,671.02 : x
  2. Step 2: Convert to fraction form
    12,071.63/18,105.90 = 4,671.02/x
  3. Step 3: Cross multiply
    12,071.63x = 18,105.90 × 4,671.02
  4. Step 4: Simplify right side
    12,071.63x = 84,573,075.04
  5. Step 5: Solve for x
    x = 84,573,075.04/12,071.63
  6. Step 6: Final answer
    x = 7,005.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.