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Finding the Fourth Proportional to 14,382, 21,541.84 and 6,970.96

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Solution

The fourth proportional to 14,382, 21,541.84 and 6,970.96 is: 10,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382 : 21,541.84 = 6,970.96 : x
  2. Step 2: Convert to fraction form
    14,382/21,541.84 = 6,970.96/x
  3. Step 3: Cross multiply
    14,382x = 21,541.84 × 6,970.96
  4. Step 4: Simplify right side
    14,382x = 150,167,197.26
  5. Step 5: Solve for x
    x = 150,167,197.26/14,382
  6. Step 6: Final answer
    x = 10,441.33

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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.