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Finding the Fourth Proportional to 20,574.37, 30,838.26 and 9,458.11

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Solution

The fourth proportional to 20,574.37, 30,838.26 and 9,458.11 is: 14,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.37 : 30,838.26 = 9,458.11 : x
  2. Step 2: Convert to fraction form
    20,574.37/30,838.26 = 9,458.11/x
  3. Step 3: Cross multiply
    20,574.37x = 30,838.26 × 9,458.11
  4. Step 4: Simplify right side
    20,574.37x = 291,671,655.29
  5. Step 5: Solve for x
    x = 291,671,655.29/20,574.37
  6. Step 6: Final answer
    x = 14,176.46

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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.