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Finding the Fourth Proportional to 25,458, 35,132.16 and 14,280

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Solution

The fourth proportional to 25,458, 35,132.16 and 14,280 is: 19,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,458 : 35,132.16 = 14,280 : x
  2. Step 2: Convert to fraction form
    25,458/35,132.16 = 14,280/x
  3. Step 3: Cross multiply
    25,458x = 35,132.16 × 14,280
  4. Step 4: Simplify right side
    25,458x = 501,687,244.80
  5. Step 5: Solve for x
    x = 501,687,244.80/25,458
  6. Step 6: Final answer
    x = 19,706.47

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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.