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Finding the Fourth Proportional to 14,141.86, 19,521.21 and 9,424.42

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Solution

The fourth proportional to 14,141.86, 19,521.21 and 9,424.42 is: 13,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.86 : 19,521.21 = 9,424.42 : x
  2. Step 2: Convert to fraction form
    14,141.86/19,521.21 = 9,424.42/x
  3. Step 3: Cross multiply
    14,141.86x = 19,521.21 × 9,424.42
  4. Step 4: Simplify right side
    14,141.86x = 183,976,081.95
  5. Step 5: Solve for x
    x = 183,976,081.95/14,141.86
  6. Step 6: Final answer
    x = 13,009.33

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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.