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Finding the Fourth Proportional to 23,612.84, 32,585.72 and 13,002.45

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Solution

The fourth proportional to 23,612.84, 32,585.72 and 13,002.45 is: 17,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,612.84 : 32,585.72 = 13,002.45 : x
  2. Step 2: Convert to fraction form
    23,612.84/32,585.72 = 13,002.45/x
  3. Step 3: Cross multiply
    23,612.84x = 32,585.72 × 13,002.45
  4. Step 4: Simplify right side
    23,612.84x = 423,694,292.63
  5. Step 5: Solve for x
    x = 423,694,292.63/23,612.84
  6. Step 6: Final answer
    x = 17,943.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.