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Finding the Fourth Proportional to 28,516.84, 42,782.56 and 11,871.34

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Solution

The fourth proportional to 28,516.84, 42,782.56 and 11,871.34 is: 17,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,516.84 : 42,782.56 = 11,871.34 : x
  2. Step 2: Convert to fraction form
    28,516.84/42,782.56 = 11,871.34/x
  3. Step 3: Cross multiply
    28,516.84x = 42,782.56 × 11,871.34
  4. Step 4: Simplify right side
    28,516.84x = 507,886,315.83
  5. Step 5: Solve for x
    x = 507,886,315.83/28,516.84
  6. Step 6: Final answer
    x = 17,810.05

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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.