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Finding the Fourth Proportional to 22,870.51, 31,562.82 and 12,798.37

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Solution

The fourth proportional to 22,870.51, 31,562.82 and 12,798.37 is: 17,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,870.51 : 31,562.82 = 12,798.37 : x
  2. Step 2: Convert to fraction form
    22,870.51/31,562.82 = 12,798.37/x
  3. Step 3: Cross multiply
    22,870.51x = 31,562.82 × 12,798.37
  4. Step 4: Simplify right side
    22,870.51x = 403,952,648.60
  5. Step 5: Solve for x
    x = 403,952,648.60/22,870.51
  6. Step 6: Final answer
    x = 17,662.60

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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.