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Finding the Fourth Proportional to 25,762.13, 38,617.05 and 14,645.84

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Solution

The fourth proportional to 25,762.13, 38,617.05 and 14,645.84 is: 21,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.13 : 38,617.05 = 14,645.84 : x
  2. Step 2: Convert to fraction form
    25,762.13/38,617.05 = 14,645.84/x
  3. Step 3: Cross multiply
    25,762.13x = 38,617.05 × 14,645.84
  4. Step 4: Simplify right side
    25,762.13x = 565,579,135.57
  5. Step 5: Solve for x
    x = 565,579,135.57/25,762.13
  6. Step 6: Final answer
    x = 21,953.90

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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.