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Finding the Fourth Proportional to 25,980, 35,852.40 and 16,044

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Solution

The fourth proportional to 25,980, 35,852.40 and 16,044 is: 22,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980 : 35,852.40 = 16,044 : x
  2. Step 2: Convert to fraction form
    25,980/35,852.40 = 16,044/x
  3. Step 3: Cross multiply
    25,980x = 35,852.40 × 16,044
  4. Step 4: Simplify right side
    25,980x = 575,215,905.60
  5. Step 5: Solve for x
    x = 575,215,905.60/25,980
  6. Step 6: Final answer
    x = 22,140.72

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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.