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Finding the Fourth Proportional to 16,444.81, 24,673.42 and 9,875.57

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Solution

The fourth proportional to 16,444.81, 24,673.42 and 9,875.57 is: 14,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,444.81 : 24,673.42 = 9,875.57 : x
  2. Step 2: Convert to fraction form
    16,444.81/24,673.42 = 9,875.57/x
  3. Step 3: Cross multiply
    16,444.81x = 24,673.42 × 9,875.57
  4. Step 4: Simplify right side
    16,444.81x = 243,664,086.35
  5. Step 5: Solve for x
    x = 243,664,086.35/16,444.81
  6. Step 6: Final answer
    x = 14,817.09

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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.