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Finding the Fourth Proportional to 22,858.37, 31,543.07 and 12,785.07

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Solution

The fourth proportional to 22,858.37, 31,543.07 and 12,785.07 is: 17,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.37 : 31,543.07 = 12,785.07 : x
  2. Step 2: Convert to fraction form
    22,858.37/31,543.07 = 12,785.07/x
  3. Step 3: Cross multiply
    22,858.37x = 31,543.07 × 12,785.07
  4. Step 4: Simplify right side
    22,858.37x = 403,280,389.93
  5. Step 5: Solve for x
    x = 403,280,389.93/22,858.37
  6. Step 6: Final answer
    x = 17,642.57

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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.