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Finding the Fourth Proportional to 14,256.50, 19,673.97 and 7,970.18

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Solution

The fourth proportional to 14,256.50, 19,673.97 and 7,970.18 is: 10,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.50 : 19,673.97 = 7,970.18 : x
  2. Step 2: Convert to fraction form
    14,256.50/19,673.97 = 7,970.18/x
  3. Step 3: Cross multiply
    14,256.50x = 19,673.97 × 7,970.18
  4. Step 4: Simplify right side
    14,256.50x = 156,805,082.21
  5. Step 5: Solve for x
    x = 156,805,082.21/14,256.50
  6. Step 6: Final answer
    x = 10,998.85

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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.