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Finding the Fourth Proportional to 32,186.12, 44,416.25 and 18,574.07

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Solution

The fourth proportional to 32,186.12, 44,416.25 and 18,574.07 is: 25,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186.12 : 44,416.25 = 18,574.07 : x
  2. Step 2: Convert to fraction form
    32,186.12/44,416.25 = 18,574.07/x
  3. Step 3: Cross multiply
    32,186.12x = 44,416.25 × 18,574.07
  4. Step 4: Simplify right side
    32,186.12x = 824,990,291.34
  5. Step 5: Solve for x
    x = 824,990,291.34/32,186.12
  6. Step 6: Final answer
    x = 25,631.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.