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Finding the Fourth Proportional to 19,873.60, 27,428.16 and 12,820.53

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Solution

The fourth proportional to 19,873.60, 27,428.16 and 12,820.53 is: 17,694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.60 : 27,428.16 = 12,820.53 : x
  2. Step 2: Convert to fraction form
    19,873.60/27,428.16 = 12,820.53/x
  3. Step 3: Cross multiply
    19,873.60x = 27,428.16 × 12,820.53
  4. Step 4: Simplify right side
    19,873.60x = 351,643,548.12
  5. Step 5: Solve for x
    x = 351,643,548.12/19,873.60
  6. Step 6: Final answer
    x = 17,694.00

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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.