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Finding the Fourth Proportional to 13,045.59, 19,578.78 and 6,807.38

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Solution

The fourth proportional to 13,045.59, 19,578.78 and 6,807.38 is: 10,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.59 : 19,578.78 = 6,807.38 : x
  2. Step 2: Convert to fraction form
    13,045.59/19,578.78 = 6,807.38/x
  3. Step 3: Cross multiply
    13,045.59x = 19,578.78 × 6,807.38
  4. Step 4: Simplify right side
    13,045.59x = 133,280,097.50
  5. Step 5: Solve for x
    x = 133,280,097.50/13,045.59
  6. Step 6: Final answer
    x = 10,216.49

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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.