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Finding the Fourth Proportional to 21,042.90, 31,563.11 and 7,894.17

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Solution

The fourth proportional to 21,042.90, 31,563.11 and 7,894.17 is: 11,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.90 : 31,563.11 = 7,894.17 : x
  2. Step 2: Convert to fraction form
    21,042.90/31,563.11 = 7,894.17/x
  3. Step 3: Cross multiply
    21,042.90x = 31,563.11 × 7,894.17
  4. Step 4: Simplify right side
    21,042.90x = 249,164,358.78
  5. Step 5: Solve for x
    x = 249,164,358.78/21,042.90
  6. Step 6: Final answer
    x = 11,840.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.