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Finding the Fourth Proportional to 25,283.64, 37,883.34 and 17,852.16

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Solution

The fourth proportional to 25,283.64, 37,883.34 and 17,852.16 is: 26,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,283.64 : 37,883.34 = 17,852.16 : x
  2. Step 2: Convert to fraction form
    25,283.64/37,883.34 = 17,852.16/x
  3. Step 3: Cross multiply
    25,283.64x = 37,883.34 × 17,852.16
  4. Step 4: Simplify right side
    25,283.64x = 676,299,447.01
  5. Step 5: Solve for x
    x = 676,299,447.01/25,283.64
  6. Step 6: Final answer
    x = 26,748.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.