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Finding the Fourth Proportional to 13,284.52, 18,329.95 and 10,096.97

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Solution

The fourth proportional to 13,284.52, 18,329.95 and 10,096.97 is: 13,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.52 : 18,329.95 = 10,096.97 : x
  2. Step 2: Convert to fraction form
    13,284.52/18,329.95 = 10,096.97/x
  3. Step 3: Cross multiply
    13,284.52x = 18,329.95 × 10,096.97
  4. Step 4: Simplify right side
    13,284.52x = 185,076,838.36
  5. Step 5: Solve for x
    x = 185,076,838.36/13,284.52
  6. Step 6: Final answer
    x = 13,931.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.