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Finding the Fourth Proportional to 25,735.74, 38,602.08 and 9,937.68

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Solution

The fourth proportional to 25,735.74, 38,602.08 and 9,937.68 is: 14,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735.74 : 38,602.08 = 9,937.68 : x
  2. Step 2: Convert to fraction form
    25,735.74/38,602.08 = 9,937.68/x
  3. Step 3: Cross multiply
    25,735.74x = 38,602.08 × 9,937.68
  4. Step 4: Simplify right side
    25,735.74x = 383,615,118.37
  5. Step 5: Solve for x
    x = 383,615,118.37/25,735.74
  6. Step 6: Final answer
    x = 14,905.93

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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.