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Finding the Fourth Proportional to 14,131.71, 19,501.83 and 8,829.60

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Solution

The fourth proportional to 14,131.71, 19,501.83 and 8,829.60 is: 12,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.71 : 19,501.83 = 8,829.60 : x
  2. Step 2: Convert to fraction form
    14,131.71/19,501.83 = 8,829.60/x
  3. Step 3: Cross multiply
    14,131.71x = 19,501.83 × 8,829.60
  4. Step 4: Simplify right side
    14,131.71x = 172,193,216.51
  5. Step 5: Solve for x
    x = 172,193,216.51/14,131.71
  6. Step 6: Final answer
    x = 12,184.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.