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Finding the Fourth Proportional to 13,967.62, 19,270.65 and 9,250.18

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Solution

The fourth proportional to 13,967.62, 19,270.65 and 9,250.18 is: 12,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.62 : 19,270.65 = 9,250.18 : x
  2. Step 2: Convert to fraction form
    13,967.62/19,270.65 = 9,250.18/x
  3. Step 3: Cross multiply
    13,967.62x = 19,270.65 × 9,250.18
  4. Step 4: Simplify right side
    13,967.62x = 178,256,981.22
  5. Step 5: Solve for x
    x = 178,256,981.22/13,967.62
  6. Step 6: Final answer
    x = 12,762.16

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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.