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Finding the Fourth Proportional to 14,646.81, 20,214.05 and 8,360.13

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Solution

The fourth proportional to 14,646.81, 20,214.05 and 8,360.13 is: 11,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.81 : 20,214.05 = 8,360.13 : x
  2. Step 2: Convert to fraction form
    14,646.81/20,214.05 = 8,360.13/x
  3. Step 3: Cross multiply
    14,646.81x = 20,214.05 × 8,360.13
  4. Step 4: Simplify right side
    14,646.81x = 168,992,085.83
  5. Step 5: Solve for x
    x = 168,992,085.83/14,646.81
  6. Step 6: Final answer
    x = 11,537.81

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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.