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Finding the Fourth Proportional to 12,397.14, 17,100.54 and 7,358.04

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Solution

The fourth proportional to 12,397.14, 17,100.54 and 7,358.04 is: 10,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.14 : 17,100.54 = 7,358.04 : x
  2. Step 2: Convert to fraction form
    12,397.14/17,100.54 = 7,358.04/x
  3. Step 3: Cross multiply
    12,397.14x = 17,100.54 × 7,358.04
  4. Step 4: Simplify right side
    12,397.14x = 125,826,457.34
  5. Step 5: Solve for x
    x = 125,826,457.34/12,397.14
  6. Step 6: Final answer
    x = 10,149.64

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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.