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Finding the Fourth Proportional to 25,220.32, 37,827.60 and 9,637.60

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Solution

The fourth proportional to 25,220.32, 37,827.60 and 9,637.60 is: 14,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,220.32 : 37,827.60 = 9,637.60 : x
  2. Step 2: Convert to fraction form
    25,220.32/37,827.60 = 9,637.60/x
  3. Step 3: Cross multiply
    25,220.32x = 37,827.60 × 9,637.60
  4. Step 4: Simplify right side
    25,220.32x = 364,567,277.76
  5. Step 5: Solve for x
    x = 364,567,277.76/25,220.32
  6. Step 6: Final answer
    x = 14,455.30

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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.