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Finding the Fourth Proportional to 14,322.51, 19,780.08 and 9,857.79

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Solution

The fourth proportional to 14,322.51, 19,780.08 and 9,857.79 is: 13,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.51 : 19,780.08 = 9,857.79 : x
  2. Step 2: Convert to fraction form
    14,322.51/19,780.08 = 9,857.79/x
  3. Step 3: Cross multiply
    14,322.51x = 19,780.08 × 9,857.79
  4. Step 4: Simplify right side
    14,322.51x = 194,987,874.82
  5. Step 5: Solve for x
    x = 194,987,874.82/14,322.51
  6. Step 6: Final answer
    x = 13,614.09

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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.