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Finding the Fourth Proportional to 12,598.24, 18,897.60 and 5,203.60

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Solution

The fourth proportional to 12,598.24, 18,897.60 and 5,203.60 is: 7,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.24 : 18,897.60 = 5,203.60 : x
  2. Step 2: Convert to fraction form
    12,598.24/18,897.60 = 5,203.60/x
  3. Step 3: Cross multiply
    12,598.24x = 18,897.60 × 5,203.60
  4. Step 4: Simplify right side
    12,598.24x = 98,335,551.36
  5. Step 5: Solve for x
    x = 98,335,551.36/12,598.24
  6. Step 6: Final answer
    x = 7,805.50

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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.