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Finding the Fourth Proportional to 39,117, 58,685.22 and 11,415

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Solution

The fourth proportional to 39,117, 58,685.22 and 11,415 is: 17,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,117 : 58,685.22 = 11,415 : x
  2. Step 2: Convert to fraction form
    39,117/58,685.22 = 11,415/x
  3. Step 3: Cross multiply
    39,117x = 58,685.22 × 11,415
  4. Step 4: Simplify right side
    39,117x = 669,891,786.30
  5. Step 5: Solve for x
    x = 669,891,786.30/39,117
  6. Step 6: Final answer
    x = 17,125.34

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