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Finding the Fourth Proportional to 12,922.52, 19,385.74 and 5,527

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Solution

The fourth proportional to 12,922.52, 19,385.74 and 5,527 is: 8,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.52 : 19,385.74 = 5,527 : x
  2. Step 2: Convert to fraction form
    12,922.52/19,385.74 = 5,527/x
  3. Step 3: Cross multiply
    12,922.52x = 19,385.74 × 5,527
  4. Step 4: Simplify right side
    12,922.52x = 107,144,984.98
  5. Step 5: Solve for x
    x = 107,144,984.98/12,922.52
  6. Step 6: Final answer
    x = 8,291.34

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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.