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Finding the Fourth Proportional to 19,108.98, 28,669.95 and 9,868.50

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Solution

The fourth proportional to 19,108.98, 28,669.95 and 9,868.50 is: 14,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,108.98 : 28,669.95 = 9,868.50 : x
  2. Step 2: Convert to fraction form
    19,108.98/28,669.95 = 9,868.50/x
  3. Step 3: Cross multiply
    19,108.98x = 28,669.95 × 9,868.50
  4. Step 4: Simplify right side
    19,108.98x = 282,929,401.58
  5. Step 5: Solve for x
    x = 282,929,401.58/19,108.98
  6. Step 6: Final answer
    x = 14,806.10

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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.