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Finding the Fourth Proportional to 14,799.38, 20,413.65 and 9,054.16

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Solution

The fourth proportional to 14,799.38, 20,413.65 and 9,054.16 is: 12,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,799.38 : 20,413.65 = 9,054.16 : x
  2. Step 2: Convert to fraction form
    14,799.38/20,413.65 = 9,054.16/x
  3. Step 3: Cross multiply
    14,799.38x = 20,413.65 × 9,054.16
  4. Step 4: Simplify right side
    14,799.38x = 184,828,453.28
  5. Step 5: Solve for x
    x = 184,828,453.28/14,799.38
  6. Step 6: Final answer
    x = 12,488.93

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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.