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Finding the Fourth Proportional to 24,461.64, 36,696.96 and 10,421.64

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Solution

The fourth proportional to 24,461.64, 36,696.96 and 10,421.64 is: 15,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.64 : 36,696.96 = 10,421.64 : x
  2. Step 2: Convert to fraction form
    24,461.64/36,696.96 = 10,421.64/x
  3. Step 3: Cross multiply
    24,461.64x = 36,696.96 × 10,421.64
  4. Step 4: Simplify right side
    24,461.64x = 382,442,506.21
  5. Step 5: Solve for x
    x = 382,442,506.21/24,461.64
  6. Step 6: Final answer
    x = 15,634.38

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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.