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Finding the Fourth Proportional to 19,241.16, 26,554.98 and 10,857

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Solution

The fourth proportional to 19,241.16, 26,554.98 and 10,857 is: 14,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,241.16 : 26,554.98 = 10,857 : x
  2. Step 2: Convert to fraction form
    19,241.16/26,554.98 = 10,857/x
  3. Step 3: Cross multiply
    19,241.16x = 26,554.98 × 10,857
  4. Step 4: Simplify right side
    19,241.16x = 288,307,417.86
  5. Step 5: Solve for x
    x = 288,307,417.86/19,241.16
  6. Step 6: Final answer
    x = 14,983.89

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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.