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Finding the Fourth Proportional to 12,973.50, 19,461.47 and 4,206.06

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Solution

The fourth proportional to 12,973.50, 19,461.47 and 4,206.06 is: 6,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.50 : 19,461.47 = 4,206.06 : x
  2. Step 2: Convert to fraction form
    12,973.50/19,461.47 = 4,206.06/x
  3. Step 3: Cross multiply
    12,973.50x = 19,461.47 × 4,206.06
  4. Step 4: Simplify right side
    12,973.50x = 81,856,089.48
  5. Step 5: Solve for x
    x = 81,856,089.48/12,973.50
  6. Step 6: Final answer
    x = 6,309.48

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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.