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Finding the Fourth Proportional to 25,664.79, 38,497.19 and 9,657.34

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Solution

The fourth proportional to 25,664.79, 38,497.19 and 9,657.34 is: 14,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,664.79 : 38,497.19 = 9,657.34 : x
  2. Step 2: Convert to fraction form
    25,664.79/38,497.19 = 9,657.34/x
  3. Step 3: Cross multiply
    25,664.79x = 38,497.19 × 9,657.34
  4. Step 4: Simplify right side
    25,664.79x = 371,780,434.85
  5. Step 5: Solve for x
    x = 371,780,434.85/25,664.79
  6. Step 6: Final answer
    x = 14,486.01

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Why These Related Problems?

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