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Finding the Fourth Proportional to 25,675.76, 35,431.28 and 14,343

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Solution

The fourth proportional to 25,675.76, 35,431.28 and 14,343 is: 19,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675.76 : 35,431.28 = 14,343 : x
  2. Step 2: Convert to fraction form
    25,675.76/35,431.28 = 14,343/x
  3. Step 3: Cross multiply
    25,675.76x = 35,431.28 × 14,343
  4. Step 4: Simplify right side
    25,675.76x = 508,190,849.04
  5. Step 5: Solve for x
    x = 508,190,849.04/25,675.76
  6. Step 6: Final answer
    x = 19,792.63

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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.