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Finding the Fourth Proportional to 27,724, 38,259.08 and 15,787.34

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Solution

The fourth proportional to 27,724, 38,259.08 and 15,787.34 is: 21,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724 : 38,259.08 = 15,787.34 : x
  2. Step 2: Convert to fraction form
    27,724/38,259.08 = 15,787.34/x
  3. Step 3: Cross multiply
    27,724x = 38,259.08 × 15,787.34
  4. Step 4: Simplify right side
    27,724x = 604,009,025.11
  5. Step 5: Solve for x
    x = 604,009,025.11/27,724
  6. Step 6: Final answer
    x = 21,786.50

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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.