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Finding the Fourth Proportional to 13,494.84, 18,623.16 and 7,526.76

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Solution

The fourth proportional to 13,494.84, 18,623.16 and 7,526.76 is: 10,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.84 : 18,623.16 = 7,526.76 : x
  2. Step 2: Convert to fraction form
    13,494.84/18,623.16 = 7,526.76/x
  3. Step 3: Cross multiply
    13,494.84x = 18,623.16 × 7,526.76
  4. Step 4: Simplify right side
    13,494.84x = 140,172,055.76
  5. Step 5: Solve for x
    x = 140,172,055.76/13,494.84
  6. Step 6: Final answer
    x = 10,387.09

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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.