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Finding the Fourth Proportional to 14,072.95, 21,094.23 and 9,146.13

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Solution

The fourth proportional to 14,072.95, 21,094.23 and 9,146.13 is: 13,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.95 : 21,094.23 = 9,146.13 : x
  2. Step 2: Convert to fraction form
    14,072.95/21,094.23 = 9,146.13/x
  3. Step 3: Cross multiply
    14,072.95x = 21,094.23 × 9,146.13
  4. Step 4: Simplify right side
    14,072.95x = 192,930,569.83
  5. Step 5: Solve for x
    x = 192,930,569.83/14,072.95
  6. Step 6: Final answer
    x = 13,709.32

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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.