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Finding the Fourth Proportional to 17,666.52, 24,369.66 and 11,031

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Solution

The fourth proportional to 17,666.52, 24,369.66 and 11,031 is: 15,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.52 : 24,369.66 = 11,031 : x
  2. Step 2: Convert to fraction form
    17,666.52/24,369.66 = 11,031/x
  3. Step 3: Cross multiply
    17,666.52x = 24,369.66 × 11,031
  4. Step 4: Simplify right side
    17,666.52x = 268,821,719.46
  5. Step 5: Solve for x
    x = 268,821,719.46/17,666.52
  6. Step 6: Final answer
    x = 15,216.45

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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.