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Finding the Fourth Proportional to 15,146.84, 20,902.70 and 8,432.45

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Solution

The fourth proportional to 15,146.84, 20,902.70 and 8,432.45 is: 11,636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.84 : 20,902.70 = 8,432.45 : x
  2. Step 2: Convert to fraction form
    15,146.84/20,902.70 = 8,432.45/x
  3. Step 3: Cross multiply
    15,146.84x = 20,902.70 × 8,432.45
  4. Step 4: Simplify right side
    15,146.84x = 176,260,889.18
  5. Step 5: Solve for x
    x = 176,260,889.18/15,146.84
  6. Step 6: Final answer
    x = 11,636.81

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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.