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Finding the Fourth Proportional to 15,814.56, 23,725.95 and 8,412.93

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Solution

The fourth proportional to 15,814.56, 23,725.95 and 8,412.93 is: 12,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.56 : 23,725.95 = 8,412.93 : x
  2. Step 2: Convert to fraction form
    15,814.56/23,725.95 = 8,412.93/x
  3. Step 3: Cross multiply
    15,814.56x = 23,725.95 × 8,412.93
  4. Step 4: Simplify right side
    15,814.56x = 199,604,756.53
  5. Step 5: Solve for x
    x = 199,604,756.53/15,814.56
  6. Step 6: Final answer
    x = 12,621.58

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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.