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Finding the Fourth Proportional to 25,662.71, 38,506.84 and 14,411.07

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Solution

The fourth proportional to 25,662.71, 38,506.84 and 14,411.07 is: 21,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,662.71 : 38,506.84 = 14,411.07 : x
  2. Step 2: Convert to fraction form
    25,662.71/38,506.84 = 14,411.07/x
  3. Step 3: Cross multiply
    25,662.71x = 38,506.84 × 14,411.07
  4. Step 4: Simplify right side
    25,662.71x = 554,924,730.69
  5. Step 5: Solve for x
    x = 554,924,730.69/25,662.71
  6. Step 6: Final answer
    x = 21,623.78

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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.