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Finding the Fourth Proportional to 23,071.54, 31,838.74 and 12,461.18

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Solution

The fourth proportional to 23,071.54, 31,838.74 and 12,461.18 is: 17,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071.54 : 31,838.74 = 12,461.18 : x
  2. Step 2: Convert to fraction form
    23,071.54/31,838.74 = 12,461.18/x
  3. Step 3: Cross multiply
    23,071.54x = 31,838.74 × 12,461.18
  4. Step 4: Simplify right side
    23,071.54x = 396,748,270.11
  5. Step 5: Solve for x
    x = 396,748,270.11/23,071.54
  6. Step 6: Final answer
    x = 17,196.44

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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.