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Finding the Fourth Proportional to 13,821.93, 19,066.05 and 10,040.04

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Solution

The fourth proportional to 13,821.93, 19,066.05 and 10,040.04 is: 13,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.93 : 19,066.05 = 10,040.04 : x
  2. Step 2: Convert to fraction form
    13,821.93/19,066.05 = 10,040.04/x
  3. Step 3: Cross multiply
    13,821.93x = 19,066.05 × 10,040.04
  4. Step 4: Simplify right side
    13,821.93x = 191,423,904.64
  5. Step 5: Solve for x
    x = 191,423,904.64/13,821.93
  6. Step 6: Final answer
    x = 13,849.29

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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.