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Finding the Fourth Proportional to 22,810.98, 31,498.98 and 14,327.85

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Solution

The fourth proportional to 22,810.98, 31,498.98 and 14,327.85 is: 19,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.98 : 31,498.98 = 14,327.85 : x
  2. Step 2: Convert to fraction form
    22,810.98/31,498.98 = 14,327.85/x
  3. Step 3: Cross multiply
    22,810.98x = 31,498.98 × 14,327.85
  4. Step 4: Simplify right side
    22,810.98x = 451,312,724.98
  5. Step 5: Solve for x
    x = 451,312,724.98/22,810.98
  6. Step 6: Final answer
    x = 19,784.89

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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.