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Finding the Fourth Proportional to 25,529.68, 38,284 and 9,740.46

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Solution

The fourth proportional to 25,529.68, 38,284 and 9,740.46 is: 14,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,529.68 : 38,284 = 9,740.46 : x
  2. Step 2: Convert to fraction form
    25,529.68/38,284 = 9,740.46/x
  3. Step 3: Cross multiply
    25,529.68x = 38,284 × 9,740.46
  4. Step 4: Simplify right side
    25,529.68x = 372,903,770.64
  5. Step 5: Solve for x
    x = 372,903,770.64/25,529.68
  6. Step 6: Final answer
    x = 14,606.68

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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.