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Finding the Fourth Proportional to 17,713.69, 24,442.76 and 10,159.63

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Solution

The fourth proportional to 17,713.69, 24,442.76 and 10,159.63 is: 14,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.69 : 24,442.76 = 10,159.63 : x
  2. Step 2: Convert to fraction form
    17,713.69/24,442.76 = 10,159.63/x
  3. Step 3: Cross multiply
    17,713.69x = 24,442.76 × 10,159.63
  4. Step 4: Simplify right side
    17,713.69x = 248,329,362.07
  5. Step 5: Solve for x
    x = 248,329,362.07/17,713.69
  6. Step 6: Final answer
    x = 14,019.07

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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.