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Finding the Fourth Proportional to 11,899.40, 16,424.42 and 7,420.50

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Solution

The fourth proportional to 11,899.40, 16,424.42 and 7,420.50 is: 10,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.40 : 16,424.42 = 7,420.50 : x
  2. Step 2: Convert to fraction form
    11,899.40/16,424.42 = 7,420.50/x
  3. Step 3: Cross multiply
    11,899.40x = 16,424.42 × 7,420.50
  4. Step 4: Simplify right side
    11,899.40x = 121,877,371.51
  5. Step 5: Solve for x
    x = 121,877,371.51/11,899.40
  6. Step 6: Final answer
    x = 10,242.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.