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Finding the Fourth Proportional to 21,402, 29,520.69 and 12,898.35

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Solution

The fourth proportional to 21,402, 29,520.69 and 12,898.35 is: 17,791.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402 : 29,520.69 = 12,898.35 : x
  2. Step 2: Convert to fraction form
    21,402/29,520.69 = 12,898.35/x
  3. Step 3: Cross multiply
    21,402x = 29,520.69 × 12,898.35
  4. Step 4: Simplify right side
    21,402x = 380,768,191.86
  5. Step 5: Solve for x
    x = 380,768,191.86/21,402
  6. Step 6: Final answer
    x = 17,791.24

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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.