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Finding the Fourth Proportional to 19,802.42, 27,326.64 and 10,849.84

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Solution

The fourth proportional to 19,802.42, 27,326.64 and 10,849.84 is: 14,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.42 : 27,326.64 = 10,849.84 : x
  2. Step 2: Convert to fraction form
    19,802.42/27,326.64 = 10,849.84/x
  3. Step 3: Cross multiply
    19,802.42x = 27,326.64 × 10,849.84
  4. Step 4: Simplify right side
    19,802.42x = 296,489,671.74
  5. Step 5: Solve for x
    x = 296,489,671.74/19,802.42
  6. Step 6: Final answer
    x = 14,972.40

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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.