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Finding the Fourth Proportional to 16,242.30, 24,368.40 and 6,877.44

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Solution

The fourth proportional to 16,242.30, 24,368.40 and 6,877.44 is: 10,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.30 : 24,368.40 = 6,877.44 : x
  2. Step 2: Convert to fraction form
    16,242.30/24,368.40 = 6,877.44/x
  3. Step 3: Cross multiply
    16,242.30x = 24,368.40 × 6,877.44
  4. Step 4: Simplify right side
    16,242.30x = 167,592,208.90
  5. Step 5: Solve for x
    x = 167,592,208.90/16,242.30
  6. Step 6: Final answer
    x = 10,318.26

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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.