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Finding the Fourth Proportional to 14,433.84, 19,904.40 and 9,398.88

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Solution

The fourth proportional to 14,433.84, 19,904.40 and 9,398.88 is: 12,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.84 : 19,904.40 = 9,398.88 : x
  2. Step 2: Convert to fraction form
    14,433.84/19,904.40 = 9,398.88/x
  3. Step 3: Cross multiply
    14,433.84x = 19,904.40 × 9,398.88
  4. Step 4: Simplify right side
    14,433.84x = 187,079,067.07
  5. Step 5: Solve for x
    x = 187,079,067.07/14,433.84
  6. Step 6: Final answer
    x = 12,961.14

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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.