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Finding the Fourth Proportional to 12,354, 17,050.68 and 7,386

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Solution

The fourth proportional to 12,354, 17,050.68 and 7,386 is: 10,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354 : 17,050.68 = 7,386 : x
  2. Step 2: Convert to fraction form
    12,354/17,050.68 = 7,386/x
  3. Step 3: Cross multiply
    12,354x = 17,050.68 × 7,386
  4. Step 4: Simplify right side
    12,354x = 125,936,322.48
  5. Step 5: Solve for x
    x = 125,936,322.48/12,354
  6. Step 6: Final answer
    x = 10,193.97

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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.