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Finding the Fourth Proportional to 23,118.54, 31,903.59 and 12,508.14

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Solution

The fourth proportional to 23,118.54, 31,903.59 and 12,508.14 is: 17,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,118.54 : 31,903.59 = 12,508.14 : x
  2. Step 2: Convert to fraction form
    23,118.54/31,903.59 = 12,508.14/x
  3. Step 3: Cross multiply
    23,118.54x = 31,903.59 × 12,508.14
  4. Step 4: Simplify right side
    23,118.54x = 399,054,570.22
  5. Step 5: Solve for x
    x = 399,054,570.22/23,118.54
  6. Step 6: Final answer
    x = 17,261.24

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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.