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Finding the Fourth Proportional to 13,123.69, 19,673.69 and 4,797.86

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Solution

The fourth proportional to 13,123.69, 19,673.69 and 4,797.86 is: 7,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.69 : 19,673.69 = 4,797.86 : x
  2. Step 2: Convert to fraction form
    13,123.69/19,673.69 = 4,797.86/x
  3. Step 3: Cross multiply
    13,123.69x = 19,673.69 × 4,797.86
  4. Step 4: Simplify right side
    13,123.69x = 94,391,671.48
  5. Step 5: Solve for x
    x = 94,391,671.48/13,123.69
  6. Step 6: Final answer
    x = 7,192.47

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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.