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Finding the Fourth Proportional to 14,413.01, 21,629.13 and 5,053.02

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Solution

The fourth proportional to 14,413.01, 21,629.13 and 5,053.02 is: 7,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.01 : 21,629.13 = 5,053.02 : x
  2. Step 2: Convert to fraction form
    14,413.01/21,629.13 = 5,053.02/x
  3. Step 3: Cross multiply
    14,413.01x = 21,629.13 × 5,053.02
  4. Step 4: Simplify right side
    14,413.01x = 109,292,326.41
  5. Step 5: Solve for x
    x = 109,292,326.41/14,413.01
  6. Step 6: Final answer
    x = 7,582.90

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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.