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Finding the Fourth Proportional to 12,802.77, 19,216.05 and 6,567.24

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Solution

The fourth proportional to 12,802.77, 19,216.05 and 6,567.24 is: 9,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.77 : 19,216.05 = 6,567.24 : x
  2. Step 2: Convert to fraction form
    12,802.77/19,216.05 = 6,567.24/x
  3. Step 3: Cross multiply
    12,802.77x = 19,216.05 × 6,567.24
  4. Step 4: Simplify right side
    12,802.77x = 126,196,412.20
  5. Step 5: Solve for x
    x = 126,196,412.20/12,802.77
  6. Step 6: Final answer
    x = 9,856.96

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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.