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Finding the Fourth Proportional to 22,431.68, 30,953.28 and 13,003.20

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Solution

The fourth proportional to 22,431.68, 30,953.28 and 13,003.20 is: 17,943.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.68 : 30,953.28 = 13,003.20 : x
  2. Step 2: Convert to fraction form
    22,431.68/30,953.28 = 13,003.20/x
  3. Step 3: Cross multiply
    22,431.68x = 30,953.28 × 13,003.20
  4. Step 4: Simplify right side
    22,431.68x = 402,491,690.50
  5. Step 5: Solve for x
    x = 402,491,690.50/22,431.68
  6. Step 6: Final answer
    x = 17,943.00

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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.