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Finding the Fourth Proportional to 25,193.47, 37,804.81 and 12,714.47

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Solution

The fourth proportional to 25,193.47, 37,804.81 and 12,714.47 is: 19,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193.47 : 37,804.81 = 12,714.47 : x
  2. Step 2: Convert to fraction form
    25,193.47/37,804.81 = 12,714.47/x
  3. Step 3: Cross multiply
    25,193.47x = 37,804.81 × 12,714.47
  4. Step 4: Simplify right side
    25,193.47x = 480,668,122.60
  5. Step 5: Solve for x
    x = 480,668,122.60/25,193.47
  6. Step 6: Final answer
    x = 19,079.08

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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.