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Finding the Fourth Proportional to 14,148.51, 19,500.23 and 10,363.64

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Solution

The fourth proportional to 14,148.51, 19,500.23 and 10,363.64 is: 14,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.51 : 19,500.23 = 10,363.64 : x
  2. Step 2: Convert to fraction form
    14,148.51/19,500.23 = 10,363.64/x
  3. Step 3: Cross multiply
    14,148.51x = 19,500.23 × 10,363.64
  4. Step 4: Simplify right side
    14,148.51x = 202,093,266.14
  5. Step 5: Solve for x
    x = 202,093,266.14/14,148.51
  6. Step 6: Final answer
    x = 14,283.71

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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.