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Finding the Fourth Proportional to 12,476.83, 18,699.10 and 5,072.71

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Solution

The fourth proportional to 12,476.83, 18,699.10 and 5,072.71 is: 7,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.83 : 18,699.10 = 5,072.71 : x
  2. Step 2: Convert to fraction form
    12,476.83/18,699.10 = 5,072.71/x
  3. Step 3: Cross multiply
    12,476.83x = 18,699.10 × 5,072.71
  4. Step 4: Simplify right side
    12,476.83x = 94,855,005.38
  5. Step 5: Solve for x
    x = 94,855,005.38/12,476.83
  6. Step 6: Final answer
    x = 7,602.50

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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.