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Finding the Fourth Proportional to 13,047.64, 18,006.63 and 7,382.39

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Solution

The fourth proportional to 13,047.64, 18,006.63 and 7,382.39 is: 10,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.64 : 18,006.63 = 7,382.39 : x
  2. Step 2: Convert to fraction form
    13,047.64/18,006.63 = 7,382.39/x
  3. Step 3: Cross multiply
    13,047.64x = 18,006.63 × 7,382.39
  4. Step 4: Simplify right side
    13,047.64x = 132,931,875.21
  5. Step 5: Solve for x
    x = 132,931,875.21/13,047.64
  6. Step 6: Final answer
    x = 10,188.20

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Why These Related Problems?

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