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Finding the Fourth Proportional to 16,689.38, 23,031.34 and 9,619.90

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Solution

The fourth proportional to 16,689.38, 23,031.34 and 9,619.90 is: 13,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.38 : 23,031.34 = 9,619.90 : x
  2. Step 2: Convert to fraction form
    16,689.38/23,031.34 = 9,619.90/x
  3. Step 3: Cross multiply
    16,689.38x = 23,031.34 × 9,619.90
  4. Step 4: Simplify right side
    16,689.38x = 221,559,106.04
  5. Step 5: Solve for x
    x = 221,559,106.04/16,689.38
  6. Step 6: Final answer
    x = 13,275.46

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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.