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Finding the Fourth Proportional to 25,238.16, 37,785.96 and 13,365

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Solution

The fourth proportional to 25,238.16, 37,785.96 and 13,365 is: 20,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,238.16 : 37,785.96 = 13,365 : x
  2. Step 2: Convert to fraction form
    25,238.16/37,785.96 = 13,365/x
  3. Step 3: Cross multiply
    25,238.16x = 37,785.96 × 13,365
  4. Step 4: Simplify right side
    25,238.16x = 505,009,355.40
  5. Step 5: Solve for x
    x = 505,009,355.40/25,238.16
  6. Step 6: Final answer
    x = 20,009.75

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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.