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Finding the Fourth Proportional to 14,298.86, 19,733.00 and 8,329.56

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Solution

The fourth proportional to 14,298.86, 19,733.00 and 8,329.56 is: 11,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,298.86 : 19,733.00 = 8,329.56 : x
  2. Step 2: Convert to fraction form
    14,298.86/19,733.00 = 8,329.56/x
  3. Step 3: Cross multiply
    14,298.86x = 19,733.00 × 8,329.56
  4. Step 4: Simplify right side
    14,298.86x = 164,367,165.83
  5. Step 5: Solve for x
    x = 164,367,165.83/14,298.86
  6. Step 6: Final answer
    x = 11,495.13

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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.