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Finding the Fourth Proportional to 22,798.85, 31,462.91 and 12,589.85

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Solution

The fourth proportional to 22,798.85, 31,462.91 and 12,589.85 is: 17,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,798.85 : 31,462.91 = 12,589.85 : x
  2. Step 2: Convert to fraction form
    22,798.85/31,462.91 = 12,589.85/x
  3. Step 3: Cross multiply
    22,798.85x = 31,462.91 × 12,589.85
  4. Step 4: Simplify right side
    22,798.85x = 396,113,254.51
  5. Step 5: Solve for x
    x = 396,113,254.51/22,798.85
  6. Step 6: Final answer
    x = 17,374.26

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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.