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Finding the Fourth Proportional to 20,402, 28,154.76 and 12,023.60

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Solution

The fourth proportional to 20,402, 28,154.76 and 12,023.60 is: 16,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402 : 28,154.76 = 12,023.60 : x
  2. Step 2: Convert to fraction form
    20,402/28,154.76 = 12,023.60/x
  3. Step 3: Cross multiply
    20,402x = 28,154.76 × 12,023.60
  4. Step 4: Simplify right side
    20,402x = 338,521,572.34
  5. Step 5: Solve for x
    x = 338,521,572.34/20,402
  6. Step 6: Final answer
    x = 16,592.57

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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.