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Finding the Fourth Proportional to 17,810.70, 24,577.20 and 9,852.90

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Solution

The fourth proportional to 17,810.70, 24,577.20 and 9,852.90 is: 13,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.70 : 24,577.20 = 9,852.90 : x
  2. Step 2: Convert to fraction form
    17,810.70/24,577.20 = 9,852.90/x
  3. Step 3: Cross multiply
    17,810.70x = 24,577.20 × 9,852.90
  4. Step 4: Simplify right side
    17,810.70x = 242,156,693.88
  5. Step 5: Solve for x
    x = 242,156,693.88/17,810.70
  6. Step 6: Final answer
    x = 13,596.14

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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.