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Finding the Fourth Proportional to 35,275.24, 52,872.54 and 14,473

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Solution

The fourth proportional to 35,275.24, 52,872.54 and 14,473 is: 21,692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,275.24 : 52,872.54 = 14,473 : x
  2. Step 2: Convert to fraction form
    35,275.24/52,872.54 = 14,473/x
  3. Step 3: Cross multiply
    35,275.24x = 52,872.54 × 14,473
  4. Step 4: Simplify right side
    35,275.24x = 765,224,271.42
  5. Step 5: Solve for x
    x = 765,224,271.42/35,275.24
  6. Step 6: Final answer
    x = 21,692.96

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