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Finding the Fourth Proportional to 25,206, 34,784.30 and 14,596.20

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Solution

The fourth proportional to 25,206, 34,784.30 and 14,596.20 is: 20,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206 : 34,784.30 = 14,596.20 : x
  2. Step 2: Convert to fraction form
    25,206/34,784.30 = 14,596.20/x
  3. Step 3: Cross multiply
    25,206x = 34,784.30 × 14,596.20
  4. Step 4: Simplify right side
    25,206x = 507,718,599.66
  5. Step 5: Solve for x
    x = 507,718,599.66/25,206
  6. Step 6: Final answer
    x = 20,142.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.