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Finding the Fourth Proportional to 17,534.69, 24,199.61 and 10,461.11

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Solution

The fourth proportional to 17,534.69, 24,199.61 and 10,461.11 is: 14,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.69 : 24,199.61 = 10,461.11 : x
  2. Step 2: Convert to fraction form
    17,534.69/24,199.61 = 10,461.11/x
  3. Step 3: Cross multiply
    17,534.69x = 24,199.61 × 10,461.11
  4. Step 4: Simplify right side
    17,534.69x = 253,154,608.86
  5. Step 5: Solve for x
    x = 253,154,608.86/17,534.69
  6. Step 6: Final answer
    x = 14,437.36

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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.