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Finding the Fourth Proportional to 22,038.55, 30,413.19 and 11,966.95

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Solution

The fourth proportional to 22,038.55, 30,413.19 and 11,966.95 is: 16,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.55 : 30,413.19 = 11,966.95 : x
  2. Step 2: Convert to fraction form
    22,038.55/30,413.19 = 11,966.95/x
  3. Step 3: Cross multiply
    22,038.55x = 30,413.19 × 11,966.95
  4. Step 4: Simplify right side
    22,038.55x = 363,953,124.07
  5. Step 5: Solve for x
    x = 363,953,124.07/22,038.55
  6. Step 6: Final answer
    x = 16,514.39

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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.