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Finding the Fourth Proportional to 22,503.12, 31,054.44 and 12,293.88

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Solution

The fourth proportional to 22,503.12, 31,054.44 and 12,293.88 is: 16,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,503.12 : 31,054.44 = 12,293.88 : x
  2. Step 2: Convert to fraction form
    22,503.12/31,054.44 = 12,293.88/x
  3. Step 3: Cross multiply
    22,503.12x = 31,054.44 × 12,293.88
  4. Step 4: Simplify right side
    22,503.12x = 381,779,419.32
  5. Step 5: Solve for x
    x = 381,779,419.32/22,503.12
  6. Step 6: Final answer
    x = 16,965.62

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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.