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Finding the Fourth Proportional to 13,095.88, 19,658.34 and 6,520.30

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Solution

The fourth proportional to 13,095.88, 19,658.34 and 6,520.30 is: 9,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,095.88 : 19,658.34 = 6,520.30 : x
  2. Step 2: Convert to fraction form
    13,095.88/19,658.34 = 6,520.30/x
  3. Step 3: Cross multiply
    13,095.88x = 19,658.34 × 6,520.30
  4. Step 4: Simplify right side
    13,095.88x = 128,178,274.30
  5. Step 5: Solve for x
    x = 128,178,274.30/13,095.88
  6. Step 6: Final answer
    x = 9,787.68

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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.