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Finding the Fourth Proportional to 13,002.58, 19,490.10 and 6,420.52

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Solution

The fourth proportional to 13,002.58, 19,490.10 and 6,420.52 is: 9,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.58 : 19,490.10 = 6,420.52 : x
  2. Step 2: Convert to fraction form
    13,002.58/19,490.10 = 6,420.52/x
  3. Step 3: Cross multiply
    13,002.58x = 19,490.10 × 6,420.52
  4. Step 4: Simplify right side
    13,002.58x = 125,136,576.85
  5. Step 5: Solve for x
    x = 125,136,576.85/13,002.58
  6. Step 6: Final answer
    x = 9,623.98

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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.