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Finding the Fourth Proportional to 13,013.19, 19,523.93 and 7,747.11

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Solution

The fourth proportional to 13,013.19, 19,523.93 and 7,747.11 is: 11,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.19 : 19,523.93 = 7,747.11 : x
  2. Step 2: Convert to fraction form
    13,013.19/19,523.93 = 7,747.11/x
  3. Step 3: Cross multiply
    13,013.19x = 19,523.93 × 7,747.11
  4. Step 4: Simplify right side
    13,013.19x = 151,253,994.61
  5. Step 5: Solve for x
    x = 151,253,994.61/13,013.19
  6. Step 6: Final answer
    x = 11,623.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.