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Finding the Fourth Proportional to 25,888, 35,725.48 and 14,712.16

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Solution

The fourth proportional to 25,888, 35,725.48 and 14,712.16 is: 20,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,888 : 35,725.48 = 14,712.16 : x
  2. Step 2: Convert to fraction form
    25,888/35,725.48 = 14,712.16/x
  3. Step 3: Cross multiply
    25,888x = 35,725.48 × 14,712.16
  4. Step 4: Simplify right side
    25,888x = 525,598,977.84
  5. Step 5: Solve for x
    x = 525,598,977.84/25,888
  6. Step 6: Final answer
    x = 20,302.80

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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.