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Finding the Fourth Proportional to 12,925.76, 19,392 and 3,692.48

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Solution

The fourth proportional to 12,925.76, 19,392 and 3,692.48 is: 5,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,925.76 : 19,392 = 3,692.48 : x
  2. Step 2: Convert to fraction form
    12,925.76/19,392 = 3,692.48/x
  3. Step 3: Cross multiply
    12,925.76x = 19,392 × 3,692.48
  4. Step 4: Simplify right side
    12,925.76x = 71,604,572.16
  5. Step 5: Solve for x
    x = 71,604,572.16/12,925.76
  6. Step 6: Final answer
    x = 5,539.68

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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.