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Finding the Fourth Proportional to 16,100.04, 24,120 and 9,506.64

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Solution

The fourth proportional to 16,100.04, 24,120 and 9,506.64 is: 14,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.04 : 24,120 = 9,506.64 : x
  2. Step 2: Convert to fraction form
    16,100.04/24,120 = 9,506.64/x
  3. Step 3: Cross multiply
    16,100.04x = 24,120 × 9,506.64
  4. Step 4: Simplify right side
    16,100.04x = 229,300,156.80
  5. Step 5: Solve for x
    x = 229,300,156.80/16,100.04
  6. Step 6: Final answer
    x = 14,242.21

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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.