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Finding the Fourth Proportional to 27,697.94, 38,223.14 and 15,122.69

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Solution

The fourth proportional to 27,697.94, 38,223.14 and 15,122.69 is: 20,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.94 : 38,223.14 = 15,122.69 : x
  2. Step 2: Convert to fraction form
    27,697.94/38,223.14 = 15,122.69/x
  3. Step 3: Cross multiply
    27,697.94x = 38,223.14 × 15,122.69
  4. Step 4: Simplify right side
    27,697.94x = 578,036,430.32
  5. Step 5: Solve for x
    x = 578,036,430.32/27,697.94
  6. Step 6: Final answer
    x = 20,869.30

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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.