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Finding the Fourth Proportional to 27,374.02, 37,743.76 and 19,309

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Solution

The fourth proportional to 27,374.02, 37,743.76 and 19,309 is: 26,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,374.02 : 37,743.76 = 19,309 : x
  2. Step 2: Convert to fraction form
    27,374.02/37,743.76 = 19,309/x
  3. Step 3: Cross multiply
    27,374.02x = 37,743.76 × 19,309
  4. Step 4: Simplify right side
    27,374.02x = 728,794,261.84
  5. Step 5: Solve for x
    x = 728,794,261.84/27,374.02
  6. Step 6: Final answer
    x = 26,623.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.