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Finding the Fourth Proportional to 19,637.47, 29,461.70 and 6,499.09

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Solution

The fourth proportional to 19,637.47, 29,461.70 and 6,499.09 is: 9,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,637.47 : 29,461.70 = 6,499.09 : x
  2. Step 2: Convert to fraction form
    19,637.47/29,461.70 = 6,499.09/x
  3. Step 3: Cross multiply
    19,637.47x = 29,461.70 × 6,499.09
  4. Step 4: Simplify right side
    19,637.47x = 191,474,239.85
  5. Step 5: Solve for x
    x = 191,474,239.85/19,637.47
  6. Step 6: Final answer
    x = 9,750.45

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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.