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Finding the Fourth Proportional to 19,970.89, 27,561.16 and 11,475.76

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Solution

The fourth proportional to 19,970.89, 27,561.16 and 11,475.76 is: 15,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.89 : 27,561.16 = 11,475.76 : x
  2. Step 2: Convert to fraction form
    19,970.89/27,561.16 = 11,475.76/x
  3. Step 3: Cross multiply
    19,970.89x = 27,561.16 × 11,475.76
  4. Step 4: Simplify right side
    19,970.89x = 316,285,254.60
  5. Step 5: Solve for x
    x = 316,285,254.60/19,970.89
  6. Step 6: Final answer
    x = 15,837.32

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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.