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Finding the Fourth Proportional to 16,833.81, 25,254.36 and 6,445.56

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Solution

The fourth proportional to 16,833.81, 25,254.36 and 6,445.56 is: 9,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.81 : 25,254.36 = 6,445.56 : x
  2. Step 2: Convert to fraction form
    16,833.81/25,254.36 = 6,445.56/x
  3. Step 3: Cross multiply
    16,833.81x = 25,254.36 × 6,445.56
  4. Step 4: Simplify right side
    16,833.81x = 162,778,492.64
  5. Step 5: Solve for x
    x = 162,778,492.64/16,833.81
  6. Step 6: Final answer
    x = 9,669.74

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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.