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Finding the Fourth Proportional to 14,290.34, 19,724.70 and 10,042.40

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Solution

The fourth proportional to 14,290.34, 19,724.70 and 10,042.40 is: 13,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.34 : 19,724.70 = 10,042.40 : x
  2. Step 2: Convert to fraction form
    14,290.34/19,724.70 = 10,042.40/x
  3. Step 3: Cross multiply
    14,290.34x = 19,724.70 × 10,042.40
  4. Step 4: Simplify right side
    14,290.34x = 198,083,327.28
  5. Step 5: Solve for x
    x = 198,083,327.28/14,290.34
  6. Step 6: Final answer
    x = 13,861.34

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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.