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Finding the Fourth Proportional to 22,827.56, 31,503.65 and 13,873.32

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Solution

The fourth proportional to 22,827.56, 31,503.65 and 13,873.32 is: 19,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.56 : 31,503.65 = 13,873.32 : x
  2. Step 2: Convert to fraction form
    22,827.56/31,503.65 = 13,873.32/x
  3. Step 3: Cross multiply
    22,827.56x = 31,503.65 × 13,873.32
  4. Step 4: Simplify right side
    22,827.56x = 437,060,148.25
  5. Step 5: Solve for x
    x = 437,060,148.25/22,827.56
  6. Step 6: Final answer
    x = 19,146.17

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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.