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Finding the Fourth Proportional to 25,457, 35,131.14 and 14,279.72

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Solution

The fourth proportional to 25,457, 35,131.14 and 14,279.72 is: 19,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,457 : 35,131.14 = 14,279.72 : x
  2. Step 2: Convert to fraction form
    25,457/35,131.14 = 14,279.72/x
  3. Step 3: Cross multiply
    25,457x = 35,131.14 × 14,279.72
  4. Step 4: Simplify right side
    25,457x = 501,662,842.48
  5. Step 5: Solve for x
    x = 501,662,842.48/25,457
  6. Step 6: Final answer
    x = 19,706.28

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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.