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Finding the Fourth Proportional to 14,798.02, 20,412.33 and 9,760.42

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Solution

The fourth proportional to 14,798.02, 20,412.33 and 9,760.42 is: 13,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798.02 : 20,412.33 = 9,760.42 : x
  2. Step 2: Convert to fraction form
    14,798.02/20,412.33 = 9,760.42/x
  3. Step 3: Cross multiply
    14,798.02x = 20,412.33 × 9,760.42
  4. Step 4: Simplify right side
    14,798.02x = 199,232,913.98
  5. Step 5: Solve for x
    x = 199,232,913.98/14,798.02
  6. Step 6: Final answer
    x = 13,463.48

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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.