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Finding the Fourth Proportional to 20,053.47, 30,056.94 and 7,565.49

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Solution

The fourth proportional to 20,053.47, 30,056.94 and 7,565.49 is: 11,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053.47 : 30,056.94 = 7,565.49 : x
  2. Step 2: Convert to fraction form
    20,053.47/30,056.94 = 7,565.49/x
  3. Step 3: Cross multiply
    20,053.47x = 30,056.94 × 7,565.49
  4. Step 4: Simplify right side
    20,053.47x = 227,395,479.00
  5. Step 5: Solve for x
    x = 227,395,479.00/20,053.47
  6. Step 6: Final answer
    x = 11,339.46

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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.