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Finding the Fourth Proportional to 22,256.96, 30,714.54 and 12,825.50

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Solution

The fourth proportional to 22,256.96, 30,714.54 and 12,825.50 is: 17,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,256.96 : 30,714.54 = 12,825.50 : x
  2. Step 2: Convert to fraction form
    22,256.96/30,714.54 = 12,825.50/x
  3. Step 3: Cross multiply
    22,256.96x = 30,714.54 × 12,825.50
  4. Step 4: Simplify right side
    22,256.96x = 393,929,332.77
  5. Step 5: Solve for x
    x = 393,929,332.77/22,256.96
  6. Step 6: Final answer
    x = 17,699.15

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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.