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Finding the Fourth Proportional to 17,754.14, 24,499.88 and 10,195.16

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Solution

The fourth proportional to 17,754.14, 24,499.88 and 10,195.16 is: 14,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.14 : 24,499.88 = 10,195.16 : x
  2. Step 2: Convert to fraction form
    17,754.14/24,499.88 = 10,195.16/x
  3. Step 3: Cross multiply
    17,754.14x = 24,499.88 × 10,195.16
  4. Step 4: Simplify right side
    17,754.14x = 249,780,023.11
  5. Step 5: Solve for x
    x = 249,780,023.11/17,754.14
  6. Step 6: Final answer
    x = 14,068.84

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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.