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Finding the Fourth Proportional to 25,309.60, 37,987.35 and 12,838.30

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Solution

The fourth proportional to 25,309.60, 37,987.35 and 12,838.30 is: 19,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.60 : 37,987.35 = 12,838.30 : x
  2. Step 2: Convert to fraction form
    25,309.60/37,987.35 = 12,838.30/x
  3. Step 3: Cross multiply
    25,309.60x = 37,987.35 × 12,838.30
  4. Step 4: Simplify right side
    25,309.60x = 487,692,995.51
  5. Step 5: Solve for x
    x = 487,692,995.51/25,309.60
  6. Step 6: Final answer
    x = 19,269.09

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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.