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Finding the Fourth Proportional to 25,506.42, 35,189.82 and 14,894.64

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Solution

The fourth proportional to 25,506.42, 35,189.82 and 14,894.64 is: 20,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,506.42 : 35,189.82 = 14,894.64 : x
  2. Step 2: Convert to fraction form
    25,506.42/35,189.82 = 14,894.64/x
  3. Step 3: Cross multiply
    25,506.42x = 35,189.82 × 14,894.64
  4. Step 4: Simplify right side
    25,506.42x = 524,139,700.56
  5. Step 5: Solve for x
    x = 524,139,700.56/25,506.42
  6. Step 6: Final answer
    x = 20,549.32

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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.