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Finding the Fourth Proportional to 12,478.76, 18,710.39 and 4,156.62

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Solution

The fourth proportional to 12,478.76, 18,710.39 and 4,156.62 is: 6,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.76 : 18,710.39 = 4,156.62 : x
  2. Step 2: Convert to fraction form
    12,478.76/18,710.39 = 4,156.62/x
  3. Step 3: Cross multiply
    12,478.76x = 18,710.39 × 4,156.62
  4. Step 4: Simplify right side
    12,478.76x = 77,771,921.51
  5. Step 5: Solve for x
    x = 77,771,921.51/12,478.76
  6. Step 6: Final answer
    x = 6,232.34

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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.