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Finding the Fourth Proportional to 25,732, 35,510.16 and 13,956

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Solution

The fourth proportional to 25,732, 35,510.16 and 13,956 is: 19,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,732 : 35,510.16 = 13,956 : x
  2. Step 2: Convert to fraction form
    25,732/35,510.16 = 13,956/x
  3. Step 3: Cross multiply
    25,732x = 35,510.16 × 13,956
  4. Step 4: Simplify right side
    25,732x = 495,579,792.96
  5. Step 5: Solve for x
    x = 495,579,792.96/25,732
  6. Step 6: Final answer
    x = 19,259.28

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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.