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Finding the Fourth Proportional to 14,182.07, 19,570.49 and 7,807.42

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Solution

The fourth proportional to 14,182.07, 19,570.49 and 7,807.42 is: 10,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.07 : 19,570.49 = 7,807.42 : x
  2. Step 2: Convert to fraction form
    14,182.07/19,570.49 = 7,807.42/x
  3. Step 3: Cross multiply
    14,182.07x = 19,570.49 × 7,807.42
  4. Step 4: Simplify right side
    14,182.07x = 152,795,035.04
  5. Step 5: Solve for x
    x = 152,795,035.04/14,182.07
  6. Step 6: Final answer
    x = 10,773.82

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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.