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Finding the Fourth Proportional to 13,648.13, 20,434.19 and 6,970.26

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Solution

The fourth proportional to 13,648.13, 20,434.19 and 6,970.26 is: 10,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.13 : 20,434.19 = 6,970.26 : x
  2. Step 2: Convert to fraction form
    13,648.13/20,434.19 = 6,970.26/x
  3. Step 3: Cross multiply
    13,648.13x = 20,434.19 × 6,970.26
  4. Step 4: Simplify right side
    13,648.13x = 142,431,582.34
  5. Step 5: Solve for x
    x = 142,431,582.34/13,648.13
  6. Step 6: Final answer
    x = 10,435.98

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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.