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Finding the Fourth Proportional to 14,117.70, 21,164.40 and 7,192.20

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Solution

The fourth proportional to 14,117.70, 21,164.40 and 7,192.20 is: 10,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.70 : 21,164.40 = 7,192.20 : x
  2. Step 2: Convert to fraction form
    14,117.70/21,164.40 = 7,192.20/x
  3. Step 3: Cross multiply
    14,117.70x = 21,164.40 × 7,192.20
  4. Step 4: Simplify right side
    14,117.70x = 152,218,597.68
  5. Step 5: Solve for x
    x = 152,218,597.68/14,117.70
  6. Step 6: Final answer
    x = 10,782.11

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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.