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Finding the Fourth Proportional to 25,055.83, 37,582.42 and 8,416.20

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Solution

The fourth proportional to 25,055.83, 37,582.42 and 8,416.20 is: 12,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,055.83 : 37,582.42 = 8,416.20 : x
  2. Step 2: Convert to fraction form
    25,055.83/37,582.42 = 8,416.20/x
  3. Step 3: Cross multiply
    25,055.83x = 37,582.42 × 8,416.20
  4. Step 4: Simplify right side
    25,055.83x = 316,301,163.20
  5. Step 5: Solve for x
    x = 316,301,163.20/25,055.83
  6. Step 6: Final answer
    x = 12,623.85

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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.