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Finding the Fourth Proportional to 21,802.40, 30,086.48 and 11,866.40

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Solution

The fourth proportional to 21,802.40, 30,086.48 and 11,866.40 is: 16,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.40 : 30,086.48 = 11,866.40 : x
  2. Step 2: Convert to fraction form
    21,802.40/30,086.48 = 11,866.40/x
  3. Step 3: Cross multiply
    21,802.40x = 30,086.48 × 11,866.40
  4. Step 4: Simplify right side
    21,802.40x = 357,018,206.27
  5. Step 5: Solve for x
    x = 357,018,206.27/21,802.40
  6. Step 6: Final answer
    x = 16,375.18

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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.