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Finding the Fourth Proportional to 14,177.18, 19,563.68 and 7,802.68

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Solution

The fourth proportional to 14,177.18, 19,563.68 and 7,802.68 is: 10,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.18 : 19,563.68 = 7,802.68 : x
  2. Step 2: Convert to fraction form
    14,177.18/19,563.68 = 7,802.68/x
  3. Step 3: Cross multiply
    14,177.18x = 19,563.68 × 7,802.68
  4. Step 4: Simplify right side
    14,177.18x = 152,649,134.66
  5. Step 5: Solve for x
    x = 152,649,134.66/14,177.18
  6. Step 6: Final answer
    x = 10,767.24

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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.