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Finding the Fourth Proportional to 28,413, 39,210.12 and 15,837.84

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Solution

The fourth proportional to 28,413, 39,210.12 and 15,837.84 is: 21,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,413 : 39,210.12 = 15,837.84 : x
  2. Step 2: Convert to fraction form
    28,413/39,210.12 = 15,837.84/x
  3. Step 3: Cross multiply
    28,413x = 39,210.12 × 15,837.84
  4. Step 4: Simplify right side
    28,413x = 621,003,606.94
  5. Step 5: Solve for x
    x = 621,003,606.94/28,413
  6. Step 6: Final answer
    x = 21,856.32

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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.