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Finding the Fourth Proportional to 17,665.52, 24,368.28 and 11,030

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Solution

The fourth proportional to 17,665.52, 24,368.28 and 11,030 is: 15,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.52 : 24,368.28 = 11,030 : x
  2. Step 2: Convert to fraction form
    17,665.52/24,368.28 = 11,030/x
  3. Step 3: Cross multiply
    17,665.52x = 24,368.28 × 11,030
  4. Step 4: Simplify right side
    17,665.52x = 268,782,128.40
  5. Step 5: Solve for x
    x = 268,782,128.40/17,665.52
  6. Step 6: Final answer
    x = 15,215.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.