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Finding the Fourth Proportional to 14,615.51, 21,917.84 and 5,253

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Solution

The fourth proportional to 14,615.51, 21,917.84 and 5,253 is: 7,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.51 : 21,917.84 = 5,253 : x
  2. Step 2: Convert to fraction form
    14,615.51/21,917.84 = 5,253/x
  3. Step 3: Cross multiply
    14,615.51x = 21,917.84 × 5,253
  4. Step 4: Simplify right side
    14,615.51x = 115,134,413.52
  5. Step 5: Solve for x
    x = 115,134,413.52/14,615.51
  6. Step 6: Final answer
    x = 7,877.55

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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.