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Finding the Fourth Proportional to 15,364, 23,046.54 and 8,787.16

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Solution

The fourth proportional to 15,364, 23,046.54 and 8,787.16 is: 13,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,364 : 23,046.54 = 8,787.16 : x
  2. Step 2: Convert to fraction form
    15,364/23,046.54 = 8,787.16/x
  3. Step 3: Cross multiply
    15,364x = 23,046.54 × 8,787.16
  4. Step 4: Simplify right side
    15,364x = 202,513,634.43
  5. Step 5: Solve for x
    x = 202,513,634.43/15,364
  6. Step 6: Final answer
    x = 13,181.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.