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Finding the Fourth Proportional to 12,658.02, 17,471.52 and 7,354.50

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Solution

The fourth proportional to 12,658.02, 17,471.52 and 7,354.50 is: 10,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.02 : 17,471.52 = 7,354.50 : x
  2. Step 2: Convert to fraction form
    12,658.02/17,471.52 = 7,354.50/x
  3. Step 3: Cross multiply
    12,658.02x = 17,471.52 × 7,354.50
  4. Step 4: Simplify right side
    12,658.02x = 128,494,293.84
  5. Step 5: Solve for x
    x = 128,494,293.84/12,658.02
  6. Step 6: Final answer
    x = 10,151.22

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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.