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Finding the Fourth Proportional to 35,810.56, 53,714.22 and 12,438.82

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Solution

The fourth proportional to 35,810.56, 53,714.22 and 12,438.82 is: 18,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,810.56 : 53,714.22 = 12,438.82 : x
  2. Step 2: Convert to fraction form
    35,810.56/53,714.22 = 12,438.82/x
  3. Step 3: Cross multiply
    35,810.56x = 53,714.22 × 12,438.82
  4. Step 4: Simplify right side
    35,810.56x = 668,141,514.02
  5. Step 5: Solve for x
    x = 668,141,514.02/35,810.56
  6. Step 6: Final answer
    x = 18,657.67

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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.