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Finding the Fourth Proportional to 13,102.68, 18,088.66 and 10,522.38

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Solution

The fourth proportional to 13,102.68, 18,088.66 and 10,522.38 is: 14,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.68 : 18,088.66 = 10,522.38 : x
  2. Step 2: Convert to fraction form
    13,102.68/18,088.66 = 10,522.38/x
  3. Step 3: Cross multiply
    13,102.68x = 18,088.66 × 10,522.38
  4. Step 4: Simplify right side
    13,102.68x = 190,335,754.21
  5. Step 5: Solve for x
    x = 190,335,754.21/13,102.68
  6. Step 6: Final answer
    x = 14,526.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.