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Finding the Fourth Proportional to 23,158.84, 31,959.76 and 14,201.16

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Solution

The fourth proportional to 23,158.84, 31,959.76 and 14,201.16 is: 19,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158.84 : 31,959.76 = 14,201.16 : x
  2. Step 2: Convert to fraction form
    23,158.84/31,959.76 = 14,201.16/x
  3. Step 3: Cross multiply
    23,158.84x = 31,959.76 × 14,201.16
  4. Step 4: Simplify right side
    23,158.84x = 453,865,665.32
  5. Step 5: Solve for x
    x = 453,865,665.32/23,158.84
  6. Step 6: Final answer
    x = 19,597.94

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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.