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Finding the Fourth Proportional to 19,897.56, 29,826.18 and 12,507.24

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Solution

The fourth proportional to 19,897.56, 29,826.18 and 12,507.24 is: 18,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.56 : 29,826.18 = 12,507.24 : x
  2. Step 2: Convert to fraction form
    19,897.56/29,826.18 = 12,507.24/x
  3. Step 3: Cross multiply
    19,897.56x = 29,826.18 × 12,507.24
  4. Step 4: Simplify right side
    19,897.56x = 373,043,191.54
  5. Step 5: Solve for x
    x = 373,043,191.54/19,897.56
  6. Step 6: Final answer
    x = 18,748.19

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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.