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Finding the Fourth Proportional to 14,368.22, 19,816.89 and 9,833.58

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Solution

The fourth proportional to 14,368.22, 19,816.89 and 9,833.58 is: 13,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.22 : 19,816.89 = 9,833.58 : x
  2. Step 2: Convert to fraction form
    14,368.22/19,816.89 = 9,833.58/x
  3. Step 3: Cross multiply
    14,368.22x = 19,816.89 × 9,833.58
  4. Step 4: Simplify right side
    14,368.22x = 194,870,948.58
  5. Step 5: Solve for x
    x = 194,870,948.58/14,368.22
  6. Step 6: Final answer
    x = 13,562.64

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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.