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Finding the Fourth Proportional to 12,937.64, 19,406.58 and 5,148.44

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Solution

The fourth proportional to 12,937.64, 19,406.58 and 5,148.44 is: 7,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.64 : 19,406.58 = 5,148.44 : x
  2. Step 2: Convert to fraction form
    12,937.64/19,406.58 = 5,148.44/x
  3. Step 3: Cross multiply
    12,937.64x = 19,406.58 × 5,148.44
  4. Step 4: Simplify right side
    12,937.64x = 99,913,612.74
  5. Step 5: Solve for x
    x = 99,913,612.74/12,937.64
  6. Step 6: Final answer
    x = 7,722.71

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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.