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Finding the Fourth Proportional to 25,102.33, 37,641.37 and 14,575

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Solution

The fourth proportional to 25,102.33, 37,641.37 and 14,575 is: 21,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.33 : 37,641.37 = 14,575 : x
  2. Step 2: Convert to fraction form
    25,102.33/37,641.37 = 14,575/x
  3. Step 3: Cross multiply
    25,102.33x = 37,641.37 × 14,575
  4. Step 4: Simplify right side
    25,102.33x = 548,622,967.75
  5. Step 5: Solve for x
    x = 548,622,967.75/25,102.33
  6. Step 6: Final answer
    x = 21,855.46

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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.