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Finding the Fourth Proportional to 25,752, 35,537.92 and 15,142.08

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Solution

The fourth proportional to 25,752, 35,537.92 and 15,142.08 is: 20,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,752 : 35,537.92 = 15,142.08 : x
  2. Step 2: Convert to fraction form
    25,752/35,537.92 = 15,142.08/x
  3. Step 3: Cross multiply
    25,752x = 35,537.92 × 15,142.08
  4. Step 4: Simplify right side
    25,752x = 538,118,027.67
  5. Step 5: Solve for x
    x = 538,118,027.67/25,752
  6. Step 6: Final answer
    x = 20,896.16

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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.