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Finding the Fourth Proportional to 16,484.16, 24,720.42 and 7,123.80

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Solution

The fourth proportional to 16,484.16, 24,720.42 and 7,123.80 is: 10,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.16 : 24,720.42 = 7,123.80 : x
  2. Step 2: Convert to fraction form
    16,484.16/24,720.42 = 7,123.80/x
  3. Step 3: Cross multiply
    16,484.16x = 24,720.42 × 7,123.80
  4. Step 4: Simplify right side
    16,484.16x = 176,103,328.00
  5. Step 5: Solve for x
    x = 176,103,328.00/16,484.16
  6. Step 6: Final answer
    x = 10,683.18

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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.