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Finding the Fourth Proportional to 17,752.42, 24,495.60 and 10,199.08

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Solution

The fourth proportional to 17,752.42, 24,495.60 and 10,199.08 is: 14,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.42 : 24,495.60 = 10,199.08 : x
  2. Step 2: Convert to fraction form
    17,752.42/24,495.60 = 10,199.08/x
  3. Step 3: Cross multiply
    17,752.42x = 24,495.60 × 10,199.08
  4. Step 4: Simplify right side
    17,752.42x = 249,832,584.05
  5. Step 5: Solve for x
    x = 249,832,584.05/17,752.42
  6. Step 6: Final answer
    x = 14,073.16

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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.