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Finding the Fourth Proportional to 17,855.80, 24,639.76 and 9,897.34

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Solution

The fourth proportional to 17,855.80, 24,639.76 and 9,897.34 is: 13,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.80 : 24,639.76 = 9,897.34 : x
  2. Step 2: Convert to fraction form
    17,855.80/24,639.76 = 9,897.34/x
  3. Step 3: Cross multiply
    17,855.80x = 24,639.76 × 9,897.34
  4. Step 4: Simplify right side
    17,855.80x = 243,868,082.24
  5. Step 5: Solve for x
    x = 243,868,082.24/17,855.80
  6. Step 6: Final answer
    x = 13,657.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.