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Finding the Fourth Proportional to 23,434.84, 32,339.28 and 12,823.79

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Solution

The fourth proportional to 23,434.84, 32,339.28 and 12,823.79 is: 17,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,434.84 : 32,339.28 = 12,823.79 : x
  2. Step 2: Convert to fraction form
    23,434.84/32,339.28 = 12,823.79/x
  3. Step 3: Cross multiply
    23,434.84x = 32,339.28 × 12,823.79
  4. Step 4: Simplify right side
    23,434.84x = 414,712,135.47
  5. Step 5: Solve for x
    x = 414,712,135.47/23,434.84
  6. Step 6: Final answer
    x = 17,696.39

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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.