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Finding the Fourth Proportional to 19,031.50, 28,548.62 and 5,882.16

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Solution

The fourth proportional to 19,031.50, 28,548.62 and 5,882.16 is: 8,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,031.50 : 28,548.62 = 5,882.16 : x
  2. Step 2: Convert to fraction form
    19,031.50/28,548.62 = 5,882.16/x
  3. Step 3: Cross multiply
    19,031.50x = 28,548.62 × 5,882.16
  4. Step 4: Simplify right side
    19,031.50x = 167,927,521.21
  5. Step 5: Solve for x
    x = 167,927,521.21/19,031.50
  6. Step 6: Final answer
    x = 8,823.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.