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Finding the Fourth Proportional to 12,045.95, 18,073.70 and 4,648.42

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Solution

The fourth proportional to 12,045.95, 18,073.70 and 4,648.42 is: 6,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045.95 : 18,073.70 = 4,648.42 : x
  2. Step 2: Convert to fraction form
    12,045.95/18,073.70 = 4,648.42/x
  3. Step 3: Cross multiply
    12,045.95x = 18,073.70 × 4,648.42
  4. Step 4: Simplify right side
    12,045.95x = 84,014,165.34
  5. Step 5: Solve for x
    x = 84,014,165.34/12,045.95
  6. Step 6: Final answer
    x = 6,974.47

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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.