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Finding the Fourth Proportional to 18,484, 25,506.96 and 10,100.32

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Solution

The fourth proportional to 18,484, 25,506.96 and 10,100.32 is: 13,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,484 : 25,506.96 = 10,100.32 : x
  2. Step 2: Convert to fraction form
    18,484/25,506.96 = 10,100.32/x
  3. Step 3: Cross multiply
    18,484x = 25,506.96 × 10,100.32
  4. Step 4: Simplify right side
    18,484x = 257,628,458.23
  5. Step 5: Solve for x
    x = 257,628,458.23/18,484
  6. Step 6: Final answer
    x = 13,937.92

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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.