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Finding the Fourth Proportional to 14,866.48, 20,505 and 12,624.82

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Solution

The fourth proportional to 14,866.48, 20,505 and 12,624.82 is: 17,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.48 : 20,505 = 12,624.82 : x
  2. Step 2: Convert to fraction form
    14,866.48/20,505 = 12,624.82/x
  3. Step 3: Cross multiply
    14,866.48x = 20,505 × 12,624.82
  4. Step 4: Simplify right side
    14,866.48x = 258,871,934.10
  5. Step 5: Solve for x
    x = 258,871,934.10/14,866.48
  6. Step 6: Final answer
    x = 17,413.13

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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.