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Finding the Fourth Proportional to 25,584, 35,305.92 and 14,973.12

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Solution

The fourth proportional to 25,584, 35,305.92 and 14,973.12 is: 20,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,584 : 35,305.92 = 14,973.12 : x
  2. Step 2: Convert to fraction form
    25,584/35,305.92 = 14,973.12/x
  3. Step 3: Cross multiply
    25,584x = 35,305.92 × 14,973.12
  4. Step 4: Simplify right side
    25,584x = 528,639,776.87
  5. Step 5: Solve for x
    x = 528,639,776.87/25,584
  6. Step 6: Final answer
    x = 20,662.91

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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.