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Finding the Fourth Proportional to 21,200.86, 29,256.62 and 12,707.78

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Solution

The fourth proportional to 21,200.86, 29,256.62 and 12,707.78 is: 17,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.86 : 29,256.62 = 12,707.78 : x
  2. Step 2: Convert to fraction form
    21,200.86/29,256.62 = 12,707.78/x
  3. Step 3: Cross multiply
    21,200.86x = 29,256.62 × 12,707.78
  4. Step 4: Simplify right side
    21,200.86x = 371,786,690.50
  5. Step 5: Solve for x
    x = 371,786,690.50/21,200.86
  6. Step 6: Final answer
    x = 17,536.40

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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.