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Finding the Fourth Proportional to 13,833.91, 19,068.03 and 9,802.09

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Solution

The fourth proportional to 13,833.91, 19,068.03 and 9,802.09 is: 13,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.91 : 19,068.03 = 9,802.09 : x
  2. Step 2: Convert to fraction form
    13,833.91/19,068.03 = 9,802.09/x
  3. Step 3: Cross multiply
    13,833.91x = 19,068.03 × 9,802.09
  4. Step 4: Simplify right side
    13,833.91x = 186,906,498.51
  5. Step 5: Solve for x
    x = 186,906,498.51/13,833.91
  6. Step 6: Final answer
    x = 13,510.75

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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.