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Finding the Fourth Proportional to 19,707.12, 29,538.81 and 9,297

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Solution

The fourth proportional to 19,707.12, 29,538.81 and 9,297 is: 13,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.12 : 29,538.81 = 9,297 : x
  2. Step 2: Convert to fraction form
    19,707.12/29,538.81 = 9,297/x
  3. Step 3: Cross multiply
    19,707.12x = 29,538.81 × 9,297
  4. Step 4: Simplify right side
    19,707.12x = 274,622,316.57
  5. Step 5: Solve for x
    x = 274,622,316.57/19,707.12
  6. Step 6: Final answer
    x = 13,935.18

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Why These Related Problems?

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