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Finding the Fourth Proportional to 25,817.40, 35,615.88 and 16,252.92

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Solution

The fourth proportional to 25,817.40, 35,615.88 and 16,252.92 is: 22,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,817.40 : 35,615.88 = 16,252.92 : x
  2. Step 2: Convert to fraction form
    25,817.40/35,615.88 = 16,252.92/x
  3. Step 3: Cross multiply
    25,817.40x = 35,615.88 × 16,252.92
  4. Step 4: Simplify right side
    25,817.40x = 578,862,048.37
  5. Step 5: Solve for x
    x = 578,862,048.37/25,817.40
  6. Step 6: Final answer
    x = 22,421.39

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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.