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Finding the Fourth Proportional to 21,714.48, 29,967.12 and 12,283.92

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Solution

The fourth proportional to 21,714.48, 29,967.12 and 12,283.92 is: 16,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.48 : 29,967.12 = 12,283.92 : x
  2. Step 2: Convert to fraction form
    21,714.48/29,967.12 = 12,283.92/x
  3. Step 3: Cross multiply
    21,714.48x = 29,967.12 × 12,283.92
  4. Step 4: Simplify right side
    21,714.48x = 368,113,704.71
  5. Step 5: Solve for x
    x = 368,113,704.71/21,714.48
  6. Step 6: Final answer
    x = 16,952.45

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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.