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Finding the Fourth Proportional to 16,447.86, 24,666.03 and 6,585.30

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Solution

The fourth proportional to 16,447.86, 24,666.03 and 6,585.30 is: 9,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.86 : 24,666.03 = 6,585.30 : x
  2. Step 2: Convert to fraction form
    16,447.86/24,666.03 = 6,585.30/x
  3. Step 3: Cross multiply
    16,447.86x = 24,666.03 × 6,585.30
  4. Step 4: Simplify right side
    16,447.86x = 162,433,207.36
  5. Step 5: Solve for x
    x = 162,433,207.36/16,447.86
  6. Step 6: Final answer
    x = 9,875.64

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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.