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Finding the Fourth Proportional to 19,102.50, 28,636.47 and 9,737.28

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Solution

The fourth proportional to 19,102.50, 28,636.47 and 9,737.28 is: 14,597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,102.50 : 28,636.47 = 9,737.28 : x
  2. Step 2: Convert to fraction form
    19,102.50/28,636.47 = 9,737.28/x
  3. Step 3: Cross multiply
    19,102.50x = 28,636.47 × 9,737.28
  4. Step 4: Simplify right side
    19,102.50x = 278,841,326.60
  5. Step 5: Solve for x
    x = 278,841,326.60/19,102.50
  6. Step 6: Final answer
    x = 14,597.11

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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.