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Finding the Fourth Proportional to 25,724, 38,585.96 and 16,895.07

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Solution

The fourth proportional to 25,724, 38,585.96 and 16,895.07 is: 25,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,724 : 38,585.96 = 16,895.07 : x
  2. Step 2: Convert to fraction form
    25,724/38,585.96 = 16,895.07/x
  3. Step 3: Cross multiply
    25,724x = 38,585.96 × 16,895.07
  4. Step 4: Simplify right side
    25,724x = 651,912,495.22
  5. Step 5: Solve for x
    x = 651,912,495.22/25,724
  6. Step 6: Final answer
    x = 25,342.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.