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Finding the Fourth Proportional to 25,110.63, 34,658.94 and 14,506.42

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Solution

The fourth proportional to 25,110.63, 34,658.94 and 14,506.42 is: 20,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,110.63 : 34,658.94 = 14,506.42 : x
  2. Step 2: Convert to fraction form
    25,110.63/34,658.94 = 14,506.42/x
  3. Step 3: Cross multiply
    25,110.63x = 34,658.94 × 14,506.42
  4. Step 4: Simplify right side
    25,110.63x = 502,776,994.06
  5. Step 5: Solve for x
    x = 502,776,994.06/25,110.63
  6. Step 6: Final answer
    x = 20,022.47

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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.