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Finding the Fourth Proportional to 16,525.96, 24,783.68 and 5,430.08

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Solution

The fourth proportional to 16,525.96, 24,783.68 and 5,430.08 is: 8,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.96 : 24,783.68 = 5,430.08 : x
  2. Step 2: Convert to fraction form
    16,525.96/24,783.68 = 5,430.08/x
  3. Step 3: Cross multiply
    16,525.96x = 24,783.68 × 5,430.08
  4. Step 4: Simplify right side
    16,525.96x = 134,577,214.03
  5. Step 5: Solve for x
    x = 134,577,214.03/16,525.96
  6. Step 6: Final answer
    x = 8,143.38

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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.