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Finding the Fourth Proportional to 24,894.83, 34,354.46 and 13,564.46

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Solution

The fourth proportional to 24,894.83, 34,354.46 and 13,564.46 is: 18,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894.83 : 34,354.46 = 13,564.46 : x
  2. Step 2: Convert to fraction form
    24,894.83/34,354.46 = 13,564.46/x
  3. Step 3: Cross multiply
    24,894.83x = 34,354.46 × 13,564.46
  4. Step 4: Simplify right side
    24,894.83x = 465,999,818.29
  5. Step 5: Solve for x
    x = 465,999,818.29/24,894.83
  6. Step 6: Final answer
    x = 18,718.74

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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.