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Finding the Fourth Proportional to 20,897.60, 28,838.76 and 11,466.32

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Solution

The fourth proportional to 20,897.60, 28,838.76 and 11,466.32 is: 15,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.60 : 28,838.76 = 11,466.32 : x
  2. Step 2: Convert to fraction form
    20,897.60/28,838.76 = 11,466.32/x
  3. Step 3: Cross multiply
    20,897.60x = 28,838.76 × 11,466.32
  4. Step 4: Simplify right side
    20,897.60x = 330,674,450.56
  5. Step 5: Solve for x
    x = 330,674,450.56/20,897.60
  6. Step 6: Final answer
    x = 15,823.56

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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.