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Finding the Fourth Proportional to 22,851.92, 31,538.68 and 12,784.22

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Solution

The fourth proportional to 22,851.92, 31,538.68 and 12,784.22 is: 17,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,851.92 : 31,538.68 = 12,784.22 : x
  2. Step 2: Convert to fraction form
    22,851.92/31,538.68 = 12,784.22/x
  3. Step 3: Cross multiply
    22,851.92x = 31,538.68 × 12,784.22
  4. Step 4: Simplify right side
    22,851.92x = 403,197,423.63
  5. Step 5: Solve for x
    x = 403,197,423.63/22,851.92
  6. Step 6: Final answer
    x = 17,643.92

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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.