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Finding the Fourth Proportional to 30,005.08, 45,007.64 and 7,818.40

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Solution

The fourth proportional to 30,005.08, 45,007.64 and 7,818.40 is: 11,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.08 : 45,007.64 = 7,818.40 : x
  2. Step 2: Convert to fraction form
    30,005.08/45,007.64 = 7,818.40/x
  3. Step 3: Cross multiply
    30,005.08x = 45,007.64 × 7,818.40
  4. Step 4: Simplify right side
    30,005.08x = 351,887,732.58
  5. Step 5: Solve for x
    x = 351,887,732.58/30,005.08
  6. Step 6: Final answer
    x = 11,727.61

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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.