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Finding the Fourth Proportional to 16,507.61, 24,763.86 and 5,978.42

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Solution

The fourth proportional to 16,507.61, 24,763.86 and 5,978.42 is: 8,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.61 : 24,763.86 = 5,978.42 : x
  2. Step 2: Convert to fraction form
    16,507.61/24,763.86 = 5,978.42/x
  3. Step 3: Cross multiply
    16,507.61x = 24,763.86 × 5,978.42
  4. Step 4: Simplify right side
    16,507.61x = 148,048,632.08
  5. Step 5: Solve for x
    x = 148,048,632.08/16,507.61
  6. Step 6: Final answer
    x = 8,968.51

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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.