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Finding the Fourth Proportional to 17,992.10, 24,829.10 and 10,034.16

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Solution

The fourth proportional to 17,992.10, 24,829.10 and 10,034.16 is: 13,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,992.10 : 24,829.10 = 10,034.16 : x
  2. Step 2: Convert to fraction form
    17,992.10/24,829.10 = 10,034.16/x
  3. Step 3: Cross multiply
    17,992.10x = 24,829.10 × 10,034.16
  4. Step 4: Simplify right side
    17,992.10x = 249,139,075.22
  5. Step 5: Solve for x
    x = 249,139,075.22/17,992.10
  6. Step 6: Final answer
    x = 13,847.14

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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.