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Finding the Fourth Proportional to 14,553.93, 21,810.04 and 8,301

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Solution

The fourth proportional to 14,553.93, 21,810.04 and 8,301 is: 12,439.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.93 : 21,810.04 = 8,301 : x
  2. Step 2: Convert to fraction form
    14,553.93/21,810.04 = 8,301/x
  3. Step 3: Cross multiply
    14,553.93x = 21,810.04 × 8,301
  4. Step 4: Simplify right side
    14,553.93x = 181,045,121.29
  5. Step 5: Solve for x
    x = 181,045,121.29/14,553.93
  6. Step 6: Final answer
    x = 12,439.60

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Why These Related Problems?

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