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Finding the Fourth Proportional to 14,602.89, 21,904.02 and 4,072.63

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Solution

The fourth proportional to 14,602.89, 21,904.02 and 4,072.63 is: 6,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.89 : 21,904.02 = 4,072.63 : x
  2. Step 2: Convert to fraction form
    14,602.89/21,904.02 = 4,072.63/x
  3. Step 3: Cross multiply
    14,602.89x = 21,904.02 × 4,072.63
  4. Step 4: Simplify right side
    14,602.89x = 89,206,948.61
  5. Step 5: Solve for x
    x = 89,206,948.61/14,602.89
  6. Step 6: Final answer
    x = 6,108.86

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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.