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Finding the Fourth Proportional to 25,602.08, 38,388 and 10,001.60

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Solution

The fourth proportional to 25,602.08, 38,388 and 10,001.60 is: 14,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602.08 : 38,388 = 10,001.60 : x
  2. Step 2: Convert to fraction form
    25,602.08/38,388 = 10,001.60/x
  3. Step 3: Cross multiply
    25,602.08x = 38,388 × 10,001.60
  4. Step 4: Simplify right side
    25,602.08x = 383,941,420.80
  5. Step 5: Solve for x
    x = 383,941,420.80/25,602.08
  6. Step 6: Final answer
    x = 14,996.49

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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.