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Finding the Fourth Proportional to 17,534.53, 24,197.70 and 10,460.80

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Solution

The fourth proportional to 17,534.53, 24,197.70 and 10,460.80 is: 14,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.53 : 24,197.70 = 10,460.80 : x
  2. Step 2: Convert to fraction form
    17,534.53/24,197.70 = 10,460.80/x
  3. Step 3: Cross multiply
    17,534.53x = 24,197.70 × 10,460.80
  4. Step 4: Simplify right side
    17,534.53x = 253,127,300.16
  5. Step 5: Solve for x
    x = 253,127,300.16/17,534.53
  6. Step 6: Final answer
    x = 14,435.93

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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.