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Finding the Fourth Proportional to 25,114.84, 34,658.56 and 13,784.44

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Solution

The fourth proportional to 25,114.84, 34,658.56 and 13,784.44 is: 19,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.84 : 34,658.56 = 13,784.44 : x
  2. Step 2: Convert to fraction form
    25,114.84/34,658.56 = 13,784.44/x
  3. Step 3: Cross multiply
    25,114.84x = 34,658.56 × 13,784.44
  4. Step 4: Simplify right side
    25,114.84x = 477,748,840.81
  5. Step 5: Solve for x
    x = 477,748,840.81/25,114.84
  6. Step 6: Final answer
    x = 19,022.57

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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.