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Finding the Fourth Proportional to 14,597.88, 21,897 and 5,238.60

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Solution

The fourth proportional to 14,597.88, 21,897 and 5,238.60 is: 7,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.88 : 21,897 = 5,238.60 : x
  2. Step 2: Convert to fraction form
    14,597.88/21,897 = 5,238.60/x
  3. Step 3: Cross multiply
    14,597.88x = 21,897 × 5,238.60
  4. Step 4: Simplify right side
    14,597.88x = 114,709,624.20
  5. Step 5: Solve for x
    x = 114,709,624.20/14,597.88
  6. Step 6: Final answer
    x = 7,857.96

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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.