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Finding the Fourth Proportional to 24,843.10, 37,223.71 and 14,322.00

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Solution

The fourth proportional to 24,843.10, 37,223.71 and 14,322.00 is: 21,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.10 : 37,223.71 = 14,322.00 : x
  2. Step 2: Convert to fraction form
    24,843.10/37,223.71 = 14,322.00/x
  3. Step 3: Cross multiply
    24,843.10x = 37,223.71 × 14,322.00
  4. Step 4: Simplify right side
    24,843.10x = 533,117,716.89
  5. Step 5: Solve for x
    x = 533,117,716.89/24,843.10
  6. Step 6: Final answer
    x = 21,459.39

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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.