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Finding the Fourth Proportional to 22,854.86, 31,541.32 and 12,784.24

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Solution

The fourth proportional to 22,854.86, 31,541.32 and 12,784.24 is: 17,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.86 : 31,541.32 = 12,784.24 : x
  2. Step 2: Convert to fraction form
    22,854.86/31,541.32 = 12,784.24/x
  3. Step 3: Cross multiply
    22,854.86x = 31,541.32 × 12,784.24
  4. Step 4: Simplify right side
    22,854.86x = 403,231,804.80
  5. Step 5: Solve for x
    x = 403,231,804.80/22,854.86
  6. Step 6: Final answer
    x = 17,643.15

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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.