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Finding the Fourth Proportional to 27,697.18, 38,223.52 and 15,762.22

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Solution

The fourth proportional to 27,697.18, 38,223.52 and 15,762.22 is: 21,752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.18 : 38,223.52 = 15,762.22 : x
  2. Step 2: Convert to fraction form
    27,697.18/38,223.52 = 15,762.22/x
  3. Step 3: Cross multiply
    27,697.18x = 38,223.52 × 15,762.22
  4. Step 4: Simplify right side
    27,697.18x = 602,487,531.41
  5. Step 5: Solve for x
    x = 602,487,531.41/27,697.18
  6. Step 6: Final answer
    x = 21,752.67

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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.